Evolutionary p(x)-Laplacian equation free from the limitation of the boundary value
In this article we consider the evolutionary $p(x)$-Laplacian equation $$ {u_t}= \hbox{div} ({\rho^\alpha}{| {\nabla u} |^{p(x) - 2}}\nabla u),\quad (x,t) \in \Omega \times (0,T), $$ where $\rho(x) = \hbox{dist} (x,\partial \Omega )$. If the diffusion coefficient degenerates on the boundary,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/143/abstr.html |