| Title:
|
Non-convex perturbations of evolution equations with $m$-dissipative operators in Banach spaces (English) |
| Author:
|
Avgerinos, Evgenios P. |
| Author:
|
Papageorgiou, Nikolaos S. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1989 |
| Pages:
|
657-664 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34G20 |
| MSC:
|
35K55 |
| MSC:
|
47E05 |
| MSC:
|
47H05 |
| MSC:
|
47H15 |
| MSC:
|
47H20 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0715.47040 |
| idMR:
|
MR1045894 |
| . |
| Date available:
|
2008-06-05T21:40:26Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106786 |
| . |
| Reference:
|
[1] H. Attouch A. Damlamian: On multivalued evolution equations in Hilbert spaces.Israel J. Math. 12 (1972), 373-390. MR 0346609 |
| Reference:
|
[2] V. Barbu: Nonlinear Semigroups and Differential Equations in Banach Spaces.Noordhoff International Publishing, Leyden, Netherlands 1976. Zbl 0328.47035, MR 0390843 |
| Reference:
|
[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 |
| Reference:
|
[4] H. Brezis: Operateurs Maximaux Monotones.Math. Studies, Vol. 50, North Holland, Amsterdam 1972. |
| Reference:
|
[5] H. Brezis: New results concerning monotone operators and nonlinear semigroups.Analysis of Nonlinear Problems, RIMS Kyoto Univ. 258 (1974), 2-27. MR 0493537 |
| Reference:
|
[6] A. Cellina M. Marchi: Nonconvex perturbations of maximal monotone inclusions.Israel J. Math. 46 (1983), 1-11. MR 0727019 |
| Reference:
|
[7] A. Fryszkowski: Continuous selections for a class of nonconvex multivalued maps.Studia Math. 76 (1983), 163-174. MR 0730018 |
| Reference:
|
[8] S. Gutman: Evolutions governed by m-accrctive plus compact operators.Nonl. Anal. - T.M.A. 7 (1983), 707-715. MR 0707079 |
| Reference:
|
[9] A. Haraux: Nonlinear Evolution Equations: Global Behavior of Solutions.Lecture Notes in Math. 841, Springer, Berlin 1981. Zbl 0461.35002, MR 0610796 |
| Reference:
|
[10] N. S. Papageorgiou: On measurable multifunciions with applications to random multivalued equations.Math. Japonica 32 (1987), 437-464. MR 0914749 |
| Reference:
|
[11] N. S. Papageorgiou: Convergence theorems for Banach space valued integrable multifunctions.Intern. J. Math, and Math. Sci 10 (1987), 433-442. Zbl 0619.28009, MR 0896595 |
| Reference:
|
[12] A. Pazy: A class of semilinear equations of evolution.Israel J. Math. 20 (1975), 23-36. |
| Reference:
|
[13] E. Schechter: Perturbations of regularizing maximal monotone operators.Israel J. Math. 43 (1982), 49-61; and correction, 47 (1984), 236-240. Zbl 0516.34060, MR 0728878 |
| Reference:
|
[14] I. Vrabie: A nonlinear version of Pazy's local existence theorem.Israel J. Math. 32 (1979), 221-235. MR 0531265 |
| . |
