Global attractor for non-autonomous wave equation without uniqueness of solution
In the paper the non-autonomous wave equation with non-smooth right-hand side is considered. It is proved that all its weak solutions generate multi-valued non autonomous dynamical system, which has invariant global attractor in the phase space.
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| Veröffentlicht in: | System research and information technologies 2019-04 (2) |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | ukr |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In the paper the non-autonomous wave equation with non-smooth right-hand side is considered. It is proved that all its weak solutions generate multi-valued non autonomous dynamical system, which has invariant global attractor in the phase space. |
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| ISSN: | 1681-6048 2308-8893 |