On fractional semilinear wave equations in non-cylindrical domains
In this paper, we investigate a class of semilinear wave equations in non-cylindrical time-dependent domains, subject to exterior homogeneous Dirichlet conditions. Under mild regularity and monotonicity assumptions on the evolving spatial domains, we establish existence of weak solutions by two diff...
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| Autori principali: | , , |
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| Natura: | Article (Journal) |
| Lingua: | inglese |
| Pubblicazione: |
1 November 2026
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| In: |
Journal of mathematical analysis and applications
Year: 2026, Volume: 563, Fascicolo: 1, Pages: 1-28 |
| ISSN: | 1096-0813 |
| DOI: | 10.1016/j.jmaa.2026.130729 |
| Accesso online: | Verlag, kostenfrei, Volltext: https://doi.org/10.1016/j.jmaa.2026.130729 Verlag, kostenfrei, Volltext: https://www.sciencedirect.com/science/article/pii/S0022247X26003410 
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| Note sull'autore: | Mauro Bonafini, Van Phu Cuong Le, Riccardo Molinarolo |
| Riassunto: | In this paper, we investigate a class of semilinear wave equations in non-cylindrical time-dependent domains, subject to exterior homogeneous Dirichlet conditions. Under mild regularity and monotonicity assumptions on the evolving spatial domains, we establish existence of weak solutions by two different methods: a constructive time-discretization scheme and a penalty approach. The analysis applies to nonlocal fractional Laplacians and potentials with Lipschitz continuous gradient, and to vector-valued maps. |
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| Descrizione del documento: | Gesehen am 30.07.2026 Online verfügbar 27 April 2026 |
| Descrizione fisica: | Online Resource |
| ISSN: | 1096-0813 |
| DOI: | 10.1016/j.jmaa.2026.130729 |