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35K55 Nonlinear PDE of parabolic type (146 articles)

• Benhamoud, Tayeb; Zaouche, Elmehdi; Bousselsal, Mahmoud: Existence, uniqueness and continuity results of weak solutions for nonlocal nonlinear parabolic problems. (English). Mathematica Bohemica, vol. 149 (2024), issue 4, pp. 533-548
• Li, Yanjiang; Yu, Zhongqing; Huang, Yumei: Global classical solutions in a self-consistent chemotaxis(-Navier)-Stokes system. (English). Czechoslovak Mathematical Journal, vol. 74 (2024), issue 1, pp. 153-175
• Zhao, Xiangdong: Global solvability in the parabolic-elliptic chemotaxis system with singular sensitivity and logistic source. (English). Czechoslovak Mathematical Journal, vol. 74 (2024), issue 1, pp. 127-151
• Abid, Soufiane; Atifi, Khalid; Essoufi, El-Hassan; Zafrar, Abderrahim: Identification of source term in a nonlinear degenerate parabolic equation with memory. (English). Applications of Mathematics, vol. 69 (2024), issue 2, pp. 209-232
• Yang, Lu; Liu, Xi; Hou, Zhibo: Asymptotic behavior of small-data solutions to a Keller-Segel-Navier-Stokes system with indirect signal production. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 1, pp. 49-70
• Mecheter, Rabah; Mokhtari, Fares: Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms. (English). Mathematica Bohemica, vol. 148 (2023), issue 4, pp. 561-581
• Boughammoura, Ahmed; Braham, Yousra: Homogenization of a three-phase composites of double-porosity type. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 1, pp. 45-73
• Húska, Martin; Medl'a, Matej; Mikula, Karol; Morigi, Serena: Lagrangian evolution approach to surface-patch quadrangulation. (English). Applications of Mathematics, vol. 66 (2021), issue 4, pp. 509-551
• Elemine Vall, M.S.B.; Ahmed, A.; Touzani, A.; Benkirane, A.: Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data. (English). Archivum Mathematicum, vol. 56 (2020), issue 2, pp. 65-106
• Jana, Ajoy; Nair, M. Thamban: Truncated spectral regularization for an ill-posed non-linear parabolic problem. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 2, pp. 545-569
• Boussandel, Sahbi: Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications. (English). Applications of Mathematics, vol. 63 (2018), issue 4, pp. 423-437
• Boussandel, Sahbi: Existence of solutions for nonlinear nonmonotone evolution equations in Banach spaces with anti-periodic boundary conditions. (English). Applications of Mathematics, vol. 63 (2018), issue 5, pp. 523-539
• Kilianová, Soňa; Ševčovič, Daniel: Expected utility maximization and conditional value-at-risk deviation-based Sharpe ratio in dynamic stochastic portfolio optimization. (English). Kybernetika, vol. 54 (2018), issue 6, pp. 1167-1183
• Yousefnezhad, Mohsen; Mohammadi, Seyyed Abbas; Bozorgnia, Farid: A free boundary problem for a predator-prey model with nonlinear prey-taxis. (English). Applications of Mathematics, vol. 63 (2018), issue 2, pp. 125-147
• Hirata, Misaki; Kurima, Shunsuke; Mizukami, Masaaki; Yokota, Tomomi: Boundedness and stabilization in a three-dimensional two-species chemotaxis-Navier-Stokes system. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 11-20
• Watanabe, Hiroshi: Continuous dependence for BV-entropy solutions to strongly degenerate parabolic equations with variable coefficients. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 315-324
• Molati, Motlatsi; Murakawa, Hideki: An efficient linear numerical scheme for the Stefan problem, the porous medium equation and nonlinear cross-diffusion systems. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 305-314
• Stašová, Olga; Mikula, Karol; Handlovičová, Angela; Peyriéras, Nadine: Nonlinear Tensor Diffusion in Image Processing. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 377-386
• Šamajová, Helena: Semi-analytical approach to initial problems for systems of nonlinear partial differential equations with constant delay. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 163-172
• Shangerganesh, Lingeshwaran; Gurusamy, Arumugam; Balachandran, Krishnan: Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents. (English). Communications in Mathematics, vol. 25 (2017), issue 1, pp. 55-70
• Kettani, Perla El; Hilhorst, Danielle; Lee, Kai: A well-posedness result for a mass conserved Allen-Cahn equation with nonlinear diffusion. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 201-210
• Makki, Ahmad: On the viscous Allen-Cahn and Cahn-Hilliard systems with Willmore regularization. (English). Applications of Mathematics, vol. 61 (2016), issue 6, pp. 685-725
• Kumazaki, Kota: Exponential decay of a solution for some parabolic equation involving a time nonlocal term. (English). Mathematica Bohemica, vol. 140 (2015), issue 2, pp. 129-137
• Wehbe, Charbel: On a Caginalp phase-field system with a logarithmic nonlinearity. (English). Applications of Mathematics, vol. 60 (2015), issue 4, pp. 355-382
• Kotorová, Dana: Comparison of the 3D Numerical Schemes for Solving Curvature Driven Level Set Equation Based on Discrete Duality Finite Volumes. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 53 (2014), issue 2, pp. 71-83
• Heinemann, Christian; Kraus, Christiane: Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 315-331
• Tian, Yanling: Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes. (English). Applications of Mathematics, vol. 59 (2014), issue 2, pp. 217-240
• Handlovičová, Angela; Kotorová, Dana: Numerical analysis of a semi-implicit DDFV scheme for the regularized curvature driven level set equation in 2D. (English). Kybernetika, vol. 49 (2013), issue 6, pp. 829-854
• Chabiniok, Radomír; Máca, Radek; Beneš, Michal; Tintěra, Jaroslav: Segmentation of MRI data by means of nonlinear diffusion. (English). Kybernetika, vol. 49 (2013), issue 2, pp. 301-318
• Malek, Alaeddin; Ebrahim Nataj, Roghayeh; Yazdanpanah, Mohamad Javad: Efficient algorithm to solve optimal boundary control problem for Burgers' equation. (English). Kybernetika, vol. 48 (2012), issue 6, pp. 1250-1265
• Miranville, Alain: On a phase-field model with a logarithmic nonlinearity. (English). Applications of Mathematics, vol. 57 (2012), issue 3, pp. 215-229
• Oberhuber, Tomáš; Suzuki, Atsushi; Žabka, Vítězslav: The CUDA implementation of the method of lines for the curvature dependent flows. (English). Kybernetika, vol. 47 (2011), issue 2, pp. 251-272
• Fučík, Radek; Mikyška, Jiří: Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium. (English). Mathematica Bohemica, vol. 136 (2011), issue 4, pp. 395-403
• Jangveladze, Temur A.; Kiguradze, Zurab V.: Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance. (English). Applications of Mathematics, vol. 55 (2010), issue 6, pp. 471-493
• Havle, Oto; Dolejší, Vít; Feistauer, Miloslav: Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions. (English). Applications of Mathematics, vol. 55 (2010), issue 5, pp. 353-372
• Fterich, Nesrine: Global solution to a generalized nonisothermal Ginzburg-Landau system. (English). Applications of Mathematics, vol. 55 (2010), issue 1, pp. 1-46
• Essel, Emmanuel Kwame; Kuliev, Komil; Kulieva, Gulchehra; Persson, Lars-Erik: Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence. (English). Applications of Mathematics, vol. 55 (2010), issue 4, pp. 305-327
• Voigt, Axel; Witkowski, Thomas: Hybrid parallelization of an adaptive finite element code. (English). Kybernetika, vol. 46 (2010), issue 2, pp. 316-327
• Kunstmann, Peer Christian: Navier-Stokes equations on unbounded domains with rough initial data. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 2, pp. 297-313
• Druet, Pierre-Etienne: Weak solutions to a time-dependent heat equation with nonlocal radiation boundary condition and arbitrary $p$-summable right-hand side. (English). Applications of Mathematics, vol. 55 (2010), issue 2, pp. 111-149
• Miyamoto, Yuki; Nagasawa, Takeyuki; Suto, Fumito: How to unify the total/local-length-constraints of the gradient flow for the bending energy of plane curves. (English). Kybernetika, vol. 45 (2009), issue 4, pp. 615-624
• Cherfils, Laurence; Miranville, Alain: On the Caginalp system with dynamic boundary conditions and singular potentials. (English). Applications of Mathematics, vol. 54 (2009), issue 2, pp. 89-115
• Murakawa, Hideki: A solution of nonlinear diffusion problems by semilinear reaction-diffusion systems. (English). Kybernetika, vol. 45 (2009), issue 4, pp. 580-590
• Zhan, Huashui: Large time behavior of solutions to a class of doubly nonlinear parabolic equations. (English). Applications of Mathematics, vol. 53 (2008), issue 6, pp. 521-533
• Ito, Akio; Kenmochi, Nobuyuki; Yamazaki, Noriaki: A phase-field model of grain boundary motion. (English). Applications of Mathematics, vol. 53 (2008), issue 5, pp. 433-454
• Nabongo, Diabate; Boni, Théodore K.: Quenching for semidiscretizations of a semilinear heat equation with Dirichlet and Neumann boundary conditions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 3, pp. 463-475
• Handlovičová, Angela; Mikula, Karol: Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation. (English). Applications of Mathematics, vol. 53 (2008), issue 2, pp. 105-129
• Ogawa, Toshiyuki; Okuda, Takashi: Bifurcations for Turing instability without SO(2) symmetry. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 869-877
• Frolkovič, Peter; Mikula, Karol; Peyriéras, Nadine; Sarti, Alex: Counting number of cells and cell segmentation using advection-diffusion equations. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 817-829
• Oberhuber, Tomáš: Finite difference scheme for the Willmore flow of graphs. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 855-867
• Krivá, Zuzana: Finite-volume level set method and its adaptive version in completing subjective contours. (English). Kybernetika, vol. 43 (2007), issue 4, pp. 509-522
• El Ouardi, Hamid: On the finite dimension of attractors of doubly nonlinear parabolic systems with l-trajectories. (English). Archivum Mathematicum, vol. 43 (2007), issue 4, pp. 289-303
• Handlovičová, Angela: Perona-Malik equation: properties of explicit finite volume scheme. (English). Kybernetika, vol. 43 (2007), issue 4, pp. 523-532
• Li, Fengquan: Regularity for entropy solutions of a class of parabolic equations with irregular data. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 69-82
• Prüss, Jan; Saal, Jürgen; Simonett, Gieri: Analytic solutions for the classical two-phase Stefan problem. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 415-425
• Oberhuber, Tomáš: Computational study of the Willmore flow on graphs. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 321-331
• Winkler, Michael: Connections between spatial decay of initial data and time asymptotics in a supercritical parabolic equation. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 567-575
• Rodriguez-Bernal, Anibal; Vidal-López, Alejandro: Extremal equilibria for parabolic non-linear reaction-diffusion equations. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 531-539
• Blesgen, Thomas: On ab-initio computations for phase change problems in solids. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 17-26
• Giga, Y.; Umeda, N.: On blow-up at space infinity for semilinear heat equations. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 63-67
• Souplet, Ph.: A remark on the large time behavior of solutions of viscous Hamilton-Jacobi equations. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 11-13
• Monneau, R.; Weiss, G. S.: Self-propagating high temperature synthesis (SHS) in the high activation energy regime. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 99-109
• Amann, H.: A time-delayed Perona-Malik type problems. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 15-38
• Engländer, J.; Pinsky, R. G.: Uniqueness/nonuniqueness for nonnegative solutions of a class of second-order parabolic equations. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 67-76
• Park, Jong Yeoul; Kim, Hyun Min; Park, Sun Hye: Anti-periodic solutions to a parabolic hemivariational inequality. (English). Kybernetika, vol. 40 (2004), issue 4, pp. [477]-489
• Cholewa, Jan W.; Dlotko, Tomasz: Cauchy problems in weighted Lebesgue spaces. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 4, pp. 991-1013
• Fattorusso, Luisa: Differentiability of weak solutions of nonlinear second order parabolic systems with quadratic growth and nonlinearity $q\ge 2$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 1, pp. 73-90
• Bonafede, Salvatore; Nicolosi, Francesco: On some properties of solutions of quasilinear degenerate parabolic equations in $\mathbb R^m \times (0, + \infty )$. (English). Mathematica Bohemica, vol. 129 (2004), issue 2, pp. 113-123
• Vala, Jiří: The method of Rothe and two-scale convergence in nonlinear problems. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 587-606
• Slodička, Marián: Recovery of an unknown flux in parabolic problems with nonstandard boundary conditions: Error estimates. (English). Applications of Mathematics, vol. 48 (2003), issue 1, pp. 49-66
• Becker, Jürgen; Grün, Günther; Lenz, Martin; Rumpf, Martin: Numerical methods for fourth order nonlinear degenerate diffusion problems. (English). Applications of Mathematics, vol. 47 (2002), issue 6, pp. 517-543
• Ďurikovič, Vladimír; Ďurikovičová, Monika: On $F$-differentiable Fredholm operators of nonstationary initial-boundary value problems. (English). Archivum Mathematicum, vol. 38 (2002), issue 3, pp. 227-241
• Quittner, Pavol: A priori bounds for solutions of parabolic problems and applications. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 329-341
• Arkhipova, A. A.: Solvability problem for strong-nonlinear nondiagonal parabolic system. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 131-138
• Poláčik, P.: Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 301-310
• Caraballo, Tomás; Langa, José Antonio; Valero, José: Approximation of attractors for multivalued random dynamical systems. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 67-76
• Caraballo, Tomás; Langa, José Antonio; Melnik, Valery S.; Valero, José: Attractors of nonautonomous and stochastic differential inclusions. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 57-66
• Arkhipova, A.: Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 1, pp. 53-76
• Papageorgiou, Nikolaos S.; Yannakakis, Nikolaos: Existence of extremal periodic solutions for nonlinear evolution inclusions. (English). Archivum Mathematicum, vol. 37 (2001), issue 1, pp. 9-23
• Doležel, Ivo; Šolín, Pavel; Ulrych, Bohuš: Fieldless methods for the simulation of stationary and nonstationary induction heating. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 143-157
• Constales, D.; Kačur, J.: On the solution of inverse problems for generalized oxygen consumption. (English). Applications of Mathematics, vol. 46 (2001), issue 2, pp. 145-155
• Quittner, Pavol: A priori bounds for solutions of parabolic problems and applications. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 185-196
• Arkhipova, Arina A.: Solvability problem for strong-nonlinear nondiagonal parabolic system. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 7-14
• Chalupecký, Vladimír; Beneš, Michal: Some applications of parabolic differential equations of Allen-Cahn type in image processing. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 83-101
• Poláčik, Peter: Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 159-167
• Arkhipova, A.: Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic growth nonlinearities I. On the continuability of smooth solutions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 4, pp. 693-718
• Kirane, M.; Tatar, N.-E.: Global existence and stability of some semilinear problems. (English). Archivum Mathematicum, vol. 36 (2000), issue 1, pp. 33-44
• Simon, László: On parabolic functional differential equations in unbounded domains. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 603-616
• Cardinali, Tiziana; Papageorgiou, Nikolaos S.: Periodic problems and problems with discontinuities for nonlinear parabolic equations. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 467-497
• Schimperna, Giulio: Singular limit of a transmission problem for the parabolic phase-field model. (English). Applications of Mathematics, vol. 45 (2000), issue 3, pp. 217-238
• Aiki, Toyohiko; Imai, Hitoshi: Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 1, pp. 135-153
• Vala, Jiří: A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations. (English). Applications of Mathematics, vol. 44 (1999), issue 6, pp. 481-496
• Halidias, Nikolaos; Papageorgiou, Nikolaos S.: Existence of solutions for nonlinear parabolic problems. (English). Archivum Mathematicum, vol. 35 (1999), issue 3, pp. 255-274
• Boni, Théodore K.: On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 3, pp. 457-475
• Ďurikovič, Vladimír; Ďurikovičová, Mária: Some generic properties of nonlinear second order diffusional type problem. (English). Archivum Mathematicum, vol. 35 (1999), issue 3, pp. 229-244
• Fašangová, Eva: Asymptotic analysis for a nonlinear parabolic equation on $\Bbb R$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 3, pp. 525-544
• Guowang, Chen: Cauchy problem for multidimensional coupled system of nonlinear Schrödinger equation and generalized IMBq equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 1, pp. 15-38
• Krejčí, Pavel; Sprekels, Jürgen: Hysteresis operators in phase-field models of Penrose-fife type. (English). Applications of Mathematics, vol. 43 (1998), issue 3, pp. 207-222
• Naumann, J.; Wolf, J.; Wolff, M.: On the Hölder continuity of weak solutions to nonlinear parabolic systems in two space dimensions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 2, pp. 237-255
• Medveď, Milan: Singular integral inequalities and stability of semilinear parabolic equations. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 183-190
• Liang, Xiting,; Zaide, Wu: The a priori estimate of the maximum modulus to solutions of doubly nonlinear parabolic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 1, pp. 109-119
• Di Benedetto, Emmanuele: Parabolic equations with multiple singularities. (English). In: Agarwal, Ravi P., Neuman, F. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 1] Survey papers. Masaryk University, Brno, 1998. pp. 25-48
• Karch, Grzegorz: Scaling in nonlinear parabolic equations: locality versus globality. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 137-138
• Blazhievskiy, Andriy: Summation of polyparametrical functional series by the method of finite hybrid integral transforms (Fourier, Bessel). (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 37-41
• Viszus, Eugen: A note on regular points for solutions of parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 557-563
• Ševčovič, Daniel: The C$^1$ stability of slow manifolds for a system of singularly perturbed evolution equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 1, pp. 89-107
• Stará, Jana; John, Oldřich: Some (new) counterexamples of parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 3, pp. 503-510
• Chen, Guowang: Classical global solutions of the initial boundary value problems for a class of nonlinear parabolic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 431-443
• Kalita, E.: On the Hölder continuity of solutions of nonlinear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 675-680
• Kenmochi, Nobuyuki: Nonlinear systems of parabolic PDE's for phase change problem. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 131-142
• Kim, Wan Se: A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 425-431
• Papageorgiou, Nikolaos S.: On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 4, pp. 673-687
• Ivanov, Alexander V.: Regularity for doubly nonlinear parabolic equations. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 117-124
• Struwe, Michael: The Yang-Mills gradient flow in four dimensions. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 213-216
• Dłotko, Tomasz: Local solvability of diagonal semilinear parabolic systems. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 4, pp. 634-640
• Bensoussan, Alain; Frehse, Jens: $C^\alpha$-regularity results for quasilinear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 3, pp. 453-474
• Jarušek, Jiří: On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. (English). Aplikace matematiky, vol. 35 (1990), issue 6, pp. 426-450
• Feireisl, Eduard: Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 184-191
• Kossaczká, Lubica: Integral manifold of the parabolic differential equation with deviating argument. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 2, pp. 253-260
• Avgerinos, Evgenios P.; Papageorgiou, Nikolaos S.: Non-convex perturbations of evolution equations with $m$-dissipative operators in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 657-664
• Kačur, Jozef: On $L_\infty$-convergence of Rothe's method. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 505-510
• Filo, Ján: Uniform bounds for solutions of a degenerate diffusion equation with nonlinear boundary conditions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 485-495
• Fila, Marek; Filo, Ján: Blow up above stationary solutions of certain nonlinear parabolic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 1, pp. 179-193
• Pluschke, Volker: Local solution of parabolic equations with strongly increasing nonlinearity by the Rothe method. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 4, pp. 642-654
• Stará, Jana; Daněček, Josef; John, Oldřich: Liouville type condition and the interior regularity of quasilinear parabolic system (the case of BMO-solutions). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 1, pp. 103-109
• Filo, Ján: On solutions of a perturbed fast diffusion equation. (English). Aplikace matematiky, vol. 32 (1987), issue 5, pp. 364-380
• Šedová, Ľubica: Parabolic equations with deviating argument in advance. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 4, pp. 613-628
• Stará, Jana; John, Oldřich; Malý, Jan: Counterexample to the regularity of weak solution of the quasilinear parabolic system. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 1, pp. 123-136
• Drábek, Pavel; Kučera, Milan; Míková, Marta: Bifurcation points of reaction-diffusion systems with unilateral conditions. (English). Czechoslovak Mathematical Journal, vol. 35 (1985), issue 4, pp. 639-660
• Bebernes, Jerrold W.: A description of blow-up for the solid fuel ignition model. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [193]-196
• Thomée, Vidar: Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [339]-344
• Haraux, Alain: Large time behaviour of the solutions to some nonlinear evolution equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 91-109
• Biroli, Marco: Nonlinear parabolic variational inequalities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 23-39
• Doktor, Alexandr: On the solution of the heat equation with nonlinear unbounded memory. (English). Aplikace matematiky, vol. 30 (1985), issue 6, pp. 461-474
• Struwe, Michael: Some regularity results for quasi-linear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 129-150
• Stará, Jana; John, Oldřich: Some regularity results for quasilinear parabolic systems. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [247]-250
• John, Oldřich; Stará, Jana: On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 3, pp. 445-457
• Roubíček, Tomáš: Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem. (English). Kybernetika, vol. 20 (1984), issue 5, pp. 405-412
• John, Oldřich: The interior regularity and the Liouville property for the quasilinear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 4, pp. 685-690
• Jäger, Willi: A diffusion reaction system modelling spatial patterns. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 155-158
• Šťastnová, Věnceslava; Fučík, Svatopluk: Weak periodic solutions of the boundary value problem for nonlinear heat equation. (English). Aplikace matematiky, vol. 24 (1979), issue 4, pp. 284-303
• Amann, H.: Invariant sets for semilinear parabolic and elliptic systems. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [1]-4
• Kačur, J.: Nonlinear parabolic boundary value problems with the time derivative in the boundary conditions. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [170]-178
• Šťastnová, Věnceslava; Fučík, Svatopluk: Note to periodic solvability of the boundary value problem for nonlinear heat equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 4, pp. 735-740
• Gajewski, Herbert: On iterative solution of nonlinear heat-conduction and diffusion problems. (English). Aplikace matematiky, vol. 22 (1977), issue 2, pp. 77-91
• Bebernes, J. W.: Solution set properties for some nonlinear parabolic differential equations. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [25]-30