| Title:
|
On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type (English) |
| Author:
|
Papageorgiou, Nikolaos S. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
4 |
| Year:
|
1993 |
| Pages:
|
673-687 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we consider nonconvex evolution inclusions driven by time dependent convex subdifferentials. First we establish the existence of a continuous selection for the solution multifunction and then we use that selection to show that the solution set is path connected. Two examples are also presented. (English) |
| Keyword:
|
subdifferential operator |
| Keyword:
|
function of compact type |
| Keyword:
|
evolution inclusion |
| Keyword:
|
continuous selection |
| Keyword:
|
path connectedness |
| Keyword:
|
differential variational inequalities |
| Keyword:
|
nonlinear parabolic system |
| MSC:
|
34A60 |
| MSC:
|
34G20 |
| MSC:
|
35K55 |
| idZBL:
|
Zbl 0792.34014 |
| idMR:
|
MR1263796 |
| . |
| Date available:
|
2009-01-08T18:07:17Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118624 |
| . |
| Reference:
|
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| . |
