| Title:
|
Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems (English) |
| Author:
|
Ishida, Sachiko |
| Author:
|
Yokota, Tomomi |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2023 |
| Pages:
|
181-189 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system. (English) |
| Keyword:
|
stabilization |
| Keyword:
|
degenerate diffusion |
| Keyword:
|
Keller-Segel systems |
| MSC:
|
35B35 |
| MSC:
|
35D30 |
| MSC:
|
35Q92 |
| MSC:
|
92C17 |
| idZBL:
|
Zbl 07675588 |
| idMR:
|
MR4563030 |
| DOI:
|
10.5817/AM2023-2-181 |
| . |
| Date available:
|
2023-02-22T14:43:38Z |
| Last updated:
|
2023-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151565 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
