| Title:
|
Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrices (English) |
| Author:
|
Arkhipova, Arina A. |
| Author:
|
Stará, Jana |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
60 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
231-267 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Partial regularity of solutions to a class of second order nonlinear parabolic systems with non-smooth in time principal matrices is proved in the paper. The coefficients are assumed to be measurable and bounded in the time variable and VMO-smooth in the space variables uniformly with respect to time. To prove the result, we apply the so-called $A(t)$-caloric approximation method. The method was applied by the authors earlier to study regularity of quasilinear systems. (English) |
| Keyword:
|
nonlinear parabolic systems |
| Keyword:
|
regularity problem |
| MSC:
|
35B65 |
| MSC:
|
35D30 |
| MSC:
|
35K99 |
| idZBL:
|
Zbl 07144892 |
| idMR:
|
MR3982471 |
| DOI:
|
10.14712/1213-7243.2019.010 |
| . |
| Date available:
|
2019-08-05T09:51:15Z |
| Last updated:
|
2021-07-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147817 |
| . |
| Reference:
|
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