| Title:
|
Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and $L^1$-data (English) |
| Author:
|
Sabri, Abdelali |
| Author:
|
Jamea, Ahmed |
| Author:
|
Alaoui, Hamad Talibi |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
|
28 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
67-88 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper, we prove existence results of entropy solu\-tions to a class of nonlinear degenerate parabolic $p(\cdot )$-Laplacian problem with Dirichlet-type boundary conditions and $L^1$ data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces. (English) |
| Keyword:
|
Degenerate parabolic problem |
| Keyword:
|
entropy solution |
| Keyword:
|
existence |
| Keyword:
|
semi-discretization |
| Keyword:
|
Rothe's method |
| Keyword:
|
weighted Sobolev space |
| MSC:
|
35A02 |
| MSC:
|
35J60 |
| MSC:
|
35J65 |
| MSC:
|
35J92 |
| idZBL:
|
Zbl 1468.35087 |
| idMR:
|
MR4124291 |
| . |
| Date available:
|
2020-07-22T11:53:24Z |
| Last updated:
|
2021-11-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148262 |
| . |
| Reference:
|
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| Reference:
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