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Asymptotic behavior of solutions to a degenerate quasilinear parabolic equation with a gradient term

Authors :
Huilai Li
Xinyue Wang
Yuanyuan Nie
Hong He
Source :
Electronic Journal of Differential Equations, Vol 2015, Iss 298,, Pp 1-12 (2015)
Publication Year :
2015
Publisher :
Texas State University, 2015.

Abstract

This article concerns the asymptotic behavior of solutions to the Cauchy problem of a degenerate quasilinear parabolic equations with a gradient term. A blow-up theorem of Fujita type is established and the critical Fujita exponent is formulated by the spacial dimension and the behavior of the coefficient of the gradient term at infinity.

Details

Language :
English
ISSN :
10726691
Volume :
2015
Issue :
298,
Database :
Directory of Open Access Journals
Journal :
Electronic Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
edsdoj.207e877daee343d991ff7ce3e70d6dbd
Document Type :
article