Large time behavior for $p(x)$-Laplacian equations with irregular data

Large time behavior for $p(x)$-Laplacian equations with irregular data

We study the large time behavior of solutions to p(x)-Laplacian equations with irregular data. Under proper assumptions, we show that the entropy solution of parabolic p(x)-Laplacian equations converges in $L^q(\Omega)$ to the unique stationary entropy solution as t tends to infinity.

Bibliographic Details
Main Authors: Xiaojuan Chai, Haisheng Li, Weisheng Niu
Format: Article
Language:English
Published: Texas State University 2015-03-01
Series:Electronic Journal of Differential Equations
Subjects:
p(x)-Laplacian equation
large time behavior
irregular data
Online Access:http://ejde.math.txstate.edu/Volumes/2015/61/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2015/61/abstr.html

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