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

Article

First Page Preview
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
MSC: 34G20, 35K55, 47E05, 47H05, 47H15, 47H20, 47J05 | MR 1045894 | Zbl 0715.47040
References:
[1] H. Attouch A. Damlamian: On multivalued evolution equations in Hilbert spaces. Israel J. Math. 12 (1972), 373-390. MR 0346609
[2] V. Barbu: Nonlinear Semigroups and Differential Equations in Banach Spaces. Noordhoff International Publishing, Leyden, Netherlands 1976. MR 0390843 | Zbl 0328.47035
[3] Ph. Benilan: Solutions integrates d' equations d' evolution dans un espace de Banach. C.R. Acad. Sc. Paris 274 (1972), 47-50. MR 0300164
[4] H. Brezis: Operateurs Maximaux Monotones. Math. Studies, Vol. 50, North Holland, Amsterdam 1972.
[5] H. Brezis: New results concerning monotone operators and nonlinear semigroups. Analysis of Nonlinear Problems, RIMS Kyoto Univ. 258 (1974), 2-27. MR 0493537
[6] A. Cellina M. Marchi: Nonconvex perturbations of maximal monotone inclusions. Israel J. Math. 46 (1983), 1-11. MR 0727019
[7] A. Fryszkowski: Continuous selections for a class of nonconvex multivalued maps. Studia Math. 76 (1983), 163-174. MR 0730018
[8] S. Gutman: Evolutions governed by m-accrctive plus compact operators. Nonl. Anal. - T.M.A. 7 (1983), 707-715. MR 0707079
[9] A. Haraux: Nonlinear Evolution Equations: Global Behavior of Solutions. Lecture Notes in Math. 841, Springer, Berlin 1981. MR 0610796 | Zbl 0461.35002
[10] N. S. Papageorgiou: On measurable multifunciions with applications to random multivalued equations. Math. Japonica 32 (1987), 437-464. MR 0914749
[11] N. S. Papageorgiou: Convergence theorems for Banach space valued integrable multifunctions. Intern. J. Math, and Math. Sci 10 (1987), 433-442. MR 0896595 | Zbl 0619.28009
[12] A. Pazy: A class of semilinear equations of evolution. Israel J. Math. 20 (1975), 23-36.
[13] E. Schechter: Perturbations of regularizing maximal monotone operators. Israel J. Math. 43 (1982), 49-61; and correction, 47 (1984), 236-240. MR 0728878 | Zbl 0516.34060
[14] I. Vrabie: A nonlinear version of Pazy's local existence theorem. Israel J. Math. 32 (1979), 221-235. MR 0531265
Partner of
EuDML logo