| Title:
|
Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems (English) |
| Author:
|
Laurençot, Philippe |
| Author:
|
Matioc, Bogdan-Vasile |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2023 |
| Pages:
|
201-213 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Bounded weak solutions to a particular class of degenerate parabolic cross-diffusion systems are shown to coincide with the unique strong solution determined by the same initial condition on the maximal existence interval of the latter. The proof relies on an estimate established for a relative entropy associated to the system. (English) |
| Keyword:
|
cross diffusion |
| Keyword:
|
weak-strong uniqueness |
| Keyword:
|
relative entropy |
| MSC:
|
35A02 |
| MSC:
|
35K51 |
| MSC:
|
35K65 |
| MSC:
|
35Q35 |
| idZBL:
|
Zbl 07675590 |
| idMR:
|
MR4563032 |
| DOI:
|
10.5817/AM2023-2-201 |
| . |
| Date available:
|
2023-02-22T14:47:55Z |
| Last updated:
|
2023-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151567 |
| . |
| Reference:
|
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