| Title:
|
Parametrized relaxation for evolution inclusions of the subdifferential type (English) |
| Author:
|
Papageorgiou, Nikolaos S. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
9-28 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we consider parametric nonlinear evolution inclusions driven by time-dependent subdifferentials. First we prove some continuous dependence results for the solution set (of both the convex and nonconvex problems) and for the set of solution-selector pairs (of the convex problem). Then we derive a continuous version of the “Filippov-Gronwall” inequality and using it, we prove the parametric relaxation theorem. An example of a parabolic distributed parameter system is also worked out in detail. (English) |
| Keyword:
|
subdifferential |
| Keyword:
|
relaxation theorem |
| Keyword:
|
Filippov-Gronwall inequality |
| Keyword:
|
lower semicontinuous multifunction |
| Keyword:
|
continuous selector |
| Keyword:
|
weak norm |
| MSC:
|
34A60 |
| MSC:
|
34G20 |
| MSC:
|
46N20 |
| MSC:
|
49J52 |
| MSC:
|
93C20 |
| idZBL:
|
Zbl 0839.34075 |
| idMR:
|
MR1342371 |
| . |
| Date available:
|
2008-06-06T21:27:35Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107520 |
| . |
| Reference:
|
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