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Nonexistence and longtime behaviors of solutions to a class of nonlinear degenerate parabolic equations not in divergence form

Nonexistence and longtime behaviors of solutions to a class of nonlinear degenerate parabolic... In this paper, we study the nonexistence and longtime behavior of weak solution for the degenerate parabolic equation ∂ t u n = u m div(|∇u m | p−2∇u m ) + γ|∇u m | p + β u n with zero boundary condition. Blow-up time is derived when the blow-up does occur. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Nonexistence and longtime behaviors of solutions to a class of nonlinear degenerate parabolic equations not in divergence form

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Publisher
Springer Journals
Copyright
Copyright © 2016 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-016-0556-y
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study the nonexistence and longtime behavior of weak solution for the degenerate parabolic equation ∂ t u n = u m div(|∇u m | p−2∇u m ) + γ|∇u m | p + β u n with zero boundary condition. Blow-up time is derived when the blow-up does occur.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Apr 29, 2016

References