| Title:
|
Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems (English) |
| Author:
|
Földes, Juraj |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
169-198 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we establish new nonlinear Liouville theorems for parabolic problems on half spaces. Based on the Liouville theorems, we derive estimates for the blow-up of positive solutions of indefinite parabolic problems and investigate the complete blow-up of these solutions. We also discuss a priori estimates for indefinite elliptic problems. (English) |
| Keyword:
|
a priori estimates |
| Keyword:
|
Liouville theorems |
| Keyword:
|
blow-up rate |
| Keyword:
|
positive solution |
| Keyword:
|
indefinite parabolic problem |
| MSC:
|
35B09 |
| MSC:
|
35B44 |
| MSC:
|
35B45 |
| MSC:
|
35B53 |
| MSC:
|
35J61 |
| MSC:
|
35K59 |
| idZBL:
|
Zbl 1224.35013 |
| idMR:
|
MR2782767 |
| DOI:
|
10.1007/s10587-011-0005-2 |
| . |
| Date available:
|
2011-05-23T12:40:36Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141526 |
| . |
| Reference:
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