On the estimates of the rate of stabilization for some problems with free boundary
With the help of energy estimates we study the behavior of solutions of the Dirichlet problem and the Stefan problem under unbounded growth of time for the semilinear equation $u_t–u_{xx}+u^{\beta}=0$, $\beta \in (0,1)$, in the case of one geometric variable.
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| Datum: | 1992 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8224 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | With the help of energy estimates we study the behavior of solutions of the Dirichlet problem and the Stefan problem under unbounded growth of time for the semilinear equation $u_t–u_{xx}+u^{\beta}=0$, $\beta \in (0,1)$, in the case of one geometric variable. |
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