Non-existence results for stochastic wave equations in one dimension
The purpose of this paper is to extend recent results of [2] and [10] for the stochastic heat equation to the stochastic wave equation given by [...] where Ẇ is space-time white noise, σ is a real-valued globally Lipschitz function but b is assumed to be only locally Lipschitz continuous. Three type...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Recursos: | Universitat Pompeu Fabra |
| Repositorio: | Repositorio Digital de la UPF |
| OAI Identifier: | oai:repositori.upf.edu:10230/57604 |
| Acesso em linha: | http://hdl.handle.net/10230/57604 http://dx.doi.org/10.1016/j.jde.2022.02.038 |
| Access Level: | acceso abierto |
| Palavra-chave: | Stochastic PDEs Space-time white noise Wave equation |
| Resumo: | The purpose of this paper is to extend recent results of [2] and [10] for the stochastic heat equation to the stochastic wave equation given by [...] where Ẇ is space-time white noise, σ is a real-valued globally Lipschitz function but b is assumed to be only locally Lipschitz continuous. Three types of domain conditions are studied: D = [0, 1] with homogeneous Dirichlet boundary conditions, D = [0, 2π] with periodic boundary conditions, and D = R. Then, under suitable conditions, the following integrability condition [...] is studied in relation to non-existence of global solutions. |
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