Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations
Lower bounds are obtained for solutions of the initial–boundary Dirichlet problem for high order equations. Sharp bounds are also obtained for $ess sup|\nabla u(x,t)|$ of the Neumann initial–boundary problem for a second order equation in $D=\Omega \times (t>0)$, where $\Omega \subset R^n...
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8243 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | Lower bounds are obtained for solutions of the initial–boundary Dirichlet problem for high order equations. Sharp bounds are also obtained for $ess sup|\nabla u(x,t)|$ of the Neumann initial–boundary problem for a second order equation in $D=\Omega \times (t>0)$, where $\Omega \subset R^n$, $n\geq 2$ is a domain with noncompact convex boundary. |
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