About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Zeman, Juraj
On existence of the weak solution for nonlinear diffusion equation. (English). Applications of Mathematics, vol. 36 (1991), issue 1, pp. 9-20
MSC: 35A15, 35K57, 35K65, 65N40 | MR 1093479 | Zbl 0741.35031 | DOI: 10.21136/AM.1991.104440
Keywords:
nonlinear diffusion; method of lines; bounded weak solutions; nonhomogeneous mixed boundary conditions; initial-boundary value problem
Summary:
The paper concerns the existence of bounded weak solutions of a anonlinear diffusion equation with nonhomogeneous mixed boundary conditions.
References:
[1] H. W. Alt S. Luckhaus: Quasilinear elliptic-parabolic differential equations. Math. Z. 183, 311-341 (1983). DOI 10.1007/BF01176474 | MR 0706391
[2] J. Kačur: Method of Rothe in evolution equations. Teubner-Texte zur Mathematik, 80, Leipzig, 1985. MR 0834176
[3] S. Fučík A. Kufner: Nonlinear Differential Equations. Amsterdam-Oxford-New Nork, Elsevier 1980. MR 0558764
[4] J. Kačur: On boundedness of the weak solution for some class of quasilinear partial differential equations. Časopis pěst. mat. 98 (1973), 43-55. MR 0316889
[5] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague, 1967. MR 0227584
[6] J. Filo: On solutions of a perturbed fast diffusion equation. Aplikace matematiky 32, 1987, 364-380. MR 0909544 | Zbl 0652.35064
[7] J. L. Lions: Quelques méthodes de résolution des problémes aux limites non linéaires. Russian translation, Moskva 1972. Zbl 0248.35001
[8] H. Gajewski K. Gröger K. Zacharias: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen. Akademie-Verlag, Berlin, 1974. MR 0636412
Partner of
EuDML logo