The stability of the anisotropic parabolic equation with the variable exponent
Abstract Consider the equation u t = div ( a ( x ) | ∇ u | p ( x ) − 2 ∇ u → ) = ∑ i = 1 N ( a i ( x ) | u x i | p i ( x ) − 2 u x i ) x i , $${u_{t}}= \operatorname{div} \bigl(\overrightarrow{a(x){ \vert{ \nabla u} \vert^{p(x) - 2}}\nabla u} \bigr)=\sum_{i=1}^{N} \bigl(a_{i}(x) \vert u_{x_{i}} \ver...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-09-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0868-8 |