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Asymptotic behavior and regularity properties of strongly nonlinear parabolic equations.

Authors :
Porzio, Maria Michaela
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