On a strongly damped semilinear wave equation with time-varying source and singular dissipation
Abstract: This paper deals with the global well-posedness and blow-up phenomena for a strongly damped semilinear wave equation with time-varying source and singular dissipative terms under the null Dirichlet boundary condition. On the basis of cut-off technique, multiplier method, contraction mapping principle, and the modified potential well method, we establish the local well-posedness and obtain the threshold between the existence and nonexistence of the global solution (including the critical case). Meanwhile, with the aid of modified differential inequality technique, the blow-up result of the solutions with arbitrarily positive initial energy and the lifespan of the blow-up solutions are derived.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On a strongly damped semilinear wave equation with time-varying source and singular dissipation ; volume:12 ; number:1 ; year:2022 ; extent:23
Advances in nonlinear analysis ; 12, Heft 1 (2022) (gesamt 23)
- Creator
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Yang, Yi
Fang, Zhong Bo
- DOI
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10.1515/anona-2022-0267
- URN
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urn:nbn:de:101:1-2022111813580577580547
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:22 AM CEST
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Associated
- Yang, Yi
- Fang, Zhong Bo
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