Determination of the lower coefficient in a parabolic equation with strong power degeneration
We establish conditions for the existence and uniqueness of the classical solution to the inverse problem of identification of the time-dependent coefficient at the first derivative in a one-dimensional degenerate parabolic equation. The Dirichlet boundary conditions and the integral condition of ov...
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| Datum: | 2016 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2016
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1886 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We establish conditions for the existence and uniqueness of the classical solution to the inverse problem of identification
of the time-dependent coefficient at the first derivative in a one-dimensional degenerate parabolic equation. The Dirichlet
boundary conditions and the integral condition of overdetermination are imposed. We study the case of strong power
degeneration. |
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