Finite-Time Stabilization in Problems with Free Boundary for Nonlinear Equations in Media with Fractal Geometry
By using the method of a priori estimates, we establish differential inequalities for energetic norms in $W^l_{2,r}$ of solutions of problems with a free bound in media with the fractal geometry for one-dimensional evolutionary equation. On the basis of these inequalities, we obtain estimates for...
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| Date: | 2005 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2005
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3658 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | By using the method of a priori estimates, we establish differential inequalities for energetic norms in $W^l_{2,r}$
of solutions of problems with a free bound in media with the fractal geometry for one-dimensional evolutionary equation.
On the basis of these inequalities, we obtain estimates for the stabilization time $T$. |
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