The weak solutions of a doubly nonlinear parabolic equation related to the p(x) $p(x)$-Laplacian
Abstract A nonlinear degenerate parabolic equation related to the p(x) $p(x)$-Laplacian ut=div(b(x)|∇a(u)|p(x)−2∇a(u))+∑i=1N∂bi(u)∂xi+c(x,t)−b0a(u) $$ {u_{t}}= \operatorname{div} \bigl({b(x)} { \bigl\vert {\nabla a(u)} \bigr\vert ^{p(x) - 2}}\nabla a(u) \bigr)+\sum _{i=1}^{N}\frac{\partial b_{i}(u)}...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-11-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2400-1 |