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Asymptotic behavior and regularity properties of strongly nonlinear parabolic equations.
- Source :
- Annali di Matematica Pura ed Applicata; Oct2019, Vol. 198 Issue 5, p1803-1833, 31p
- Publication Year :
- 2019
-
Abstract
- In this paper, we study a class of nonlinear parabolic problems including the p-Laplacian equation. The initial datum and the forcing term are allowed to be summable functions or Radon measures. We prove that these equations have surprising regularizing properties. Moreover, we study the behavior in time of these solutions proving that decay estimates hold true also for nonzero reaction terms. Finally, we study the autonomous case. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03733114
- Volume :
- 198
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Annali di Matematica Pura ed Applicata
- Publication Type :
- Academic Journal
- Accession number :
- 139275108
- Full Text :
- https://doi.org/10.1007/s10231-019-00845-w