On a weak solution matching up with the double degenerate parabolic equation
Abstract The well-posedness of weak solutions to a double degenerate evolutionary p(x) $p(x)$-Laplacian equation ut=div(b(x,t)|∇A(u)|p(x)−2∇A(u)), $$ {u_{t}}= \operatorname{div} \bigl(b(x,t){ \bigl\vert {\nabla A(u)} \bigr\vert ^{p(x) - 2}}\nabla A(u)\bigr), $$ is studied. It is assumed that b(x,t)|...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-10-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1284-z |