| Title:
|
Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory (English) |
| Author:
|
Kapustyan, Oleksiy |
| Author:
|
Kapustian, Olena |
| Author:
|
Stanzytskyi, Oleksandr |
| Author:
|
Korol, Ihor |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2023 |
| Pages:
|
191-200 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we establish the existence of the uniform attractor for a semi linear parabolic problem with bounded non autonomous disturbances in the phase space of continuous functions. We applied obtained results to prove the asymptotic gain property with respect to the global attractor of the undisturbed system. (English) |
| Keyword:
|
parabolic equations |
| Keyword:
|
attractor |
| Keyword:
|
stability |
| MSC:
|
26A12 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 07675589 |
| idMR:
|
MR4563031 |
| DOI:
|
10.5817/AM2023-2-191 |
| . |
| Date available:
|
2023-02-22T14:45:45Z |
| Last updated:
|
2023-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151566 |
| . |
| Reference:
|
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