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
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.
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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 |
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