Electron. J. Diff. Equ., Vol. 2015 (2015), No. 61, pp. 1-16.

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

Xiaojuan Chai, Haisheng Li, Weisheng Niu

Abstract:
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.

Submitted November 24, 2014. Published March 11, 2015.
Math Subject Classifications: 35B40, 35K55.
Key Words: p(x)-Laplacian equation; large time behavior; irregular data.

Show me the PDF file (290 KB), TEX file, and other files for this article.

Xiaojuan Chai
School of Mathematical Sciences
Anhui University, Hefei, China
email: chaixj@ahu.edu.cn
Haisheng Li
School of Mathematical Sciences
Anhui University, Hefei 230601, China
email: squeensy@sina.com
Weisheng Niu
School of Mathematical Sciences
Anhui University, Hefei 230601, China
email: niuwsh@ahu.edu.cn

Return to the EJDE web page