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Amann, H (2005). Quasilinear parabolic problems via maximal regularity. Advances in Differential Equations, 10(10):1081-1110.
We use maximal Lp regularity to study quasilinear parabolic
evolution equations. In contrast to all previous work we only assume that the nonlinearities are defined on the space in which the solution is sought for. It is shown that there exists a unique maximal solution depending continuously on all data, and criteria for global existence are given as well. These general results possess numerous applications, some of which will be discussed in separate publications.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 01 Feb 2010 08:19 |
| Last Modified: | 03 Mar 2025 02:37 |
| Publisher: | Khayyam |
| ISSN: | 1079-9389 |
| OA Status: | Green |
| Official URL: | http://www.aftabi.com/ADE/ade10.html |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2162362 |
Amann, H