Remark on the Cauchy problem for the evolution p-Laplacian equation
Abstract In this paper, we prove that the semigroup S ( t ) $S(t)$ generated by the Cauchy problem of the evolution p-Laplacian equation ∂ u ∂ t − div ( | ∇ u | p − 2 ∇ u ) = 0 $\frac{\partial u}{\partial t}-\operatorname{div}(|\nabla u|^{p-2}\nabla u)=0$ ( p > 2 $p>2$ ) is continuous form a w...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2017-08-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1449-1 |