| Title:
|
Existence and uniqueness of solutions for gradient systems without a compactness embedding condition (English) |
| Author:
|
Boussandel, Sahbi |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
3 |
| Year:
|
2019 |
| Pages:
|
637-651 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is devoted to the existence and uniqueness of solutions for gradient systems of evolution which involve gradients taken with respect to time-variable inner products. The Gelfand triple $(V,H,V')$ considered in the setting of this paper is such that the embedding $V\hookrightarrow H$ is only continuous. (English) |
| Keyword:
|
gradient system |
| Keyword:
|
existence and uniqueness of solution |
| Keyword:
|
Galerkin method |
| Keyword:
|
quadratic form |
| Keyword:
|
weakly lower semicontinuity |
| Keyword:
|
diffusion equation |
| MSC:
|
35F20 |
| MSC:
|
35F25 |
| MSC:
|
35F30 |
| MSC:
|
35K57 |
| MSC:
|
47H05 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 07088809 |
| idMR:
|
MR3989271 |
| DOI:
|
10.21136/CMJ.2019.0416-17 |
| . |
| Date available:
|
2019-07-24T11:15:36Z |
| Last updated:
|
2021-10-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147782 |
| . |
| Reference:
|
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