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| Solution to Nonlinear Parabolic Equations Related to the P-Laplacian |
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Citation： |
Huashui ZHAN.Solution to Nonlinear Parabolic Equations Related to the P-Laplacian[J].Chinese Annals of Mathematics B,2012,33(5):767~782 |
| Page view： 0
Net amount： 1488 |
Authors： |
Huashui ZHAN; |
Foundation： |
the Fujian Provincial Natural Science Foundation of China (No.\,2012J01011) and Pan Jinglong's Natural Science Foundation of Jimei University (No.\,ZC2010019). |
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| Abstract： |
Consider the following Cauchy problem:
&u_{t} ={\rm div}(|\nabla u^{m}| ^{p-2}\nabla u^{m}),\quad (x,t) \in S_{T} =\mathbb{R}^{N}\times (0, T),\\&u( x,0) =\mu,\quad x\in \mathbb{R}^{N},
where $1 |
Keywords： |
Nonlinear parabolic equation, Cauchy problem, Existence, $\sigma$-Finite measure |
Classification： |
35K10, 35K15, 35K55 |
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