Non-existence results for stochastic wave equations in one dimension

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• dc.contributor.author Foondun, Mohammud
• dc.contributor.author Nualart, Eulàlia
• dc.date.accessioned 2023-07-18T06:35:22Z
• dc.date.available 2023-07-18T06:35:22Z
• dc.date.issued 2022
• dc.description.abstract 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.
• dc.description.sponsorship EN acknowledges support from the Spanish MINECO grant PGC2018-101643-B-I00 and Ayudas Fundacion BBVA a Equipos de Investigación Científica 2017.
• dc.format.mimetype application/pdf
• dc.identifier.citation Foondun M, Nualart E. Non-existence results for stochastic wave equations in one dimension. J Differ Equ. 2022;318:557-78. DOI: 10.1016/j.jde.2022.02.038
• dc.identifier.doi http://dx.doi.org/10.1016/j.jde.2022.02.038
• dc.identifier.issn 0022-0396
• dc.identifier.uri http://hdl.handle.net/10230/57604
• dc.language.iso eng
• dc.publisher Elsevier
• dc.relation.ispartof Journal of Differential Equations. 2022;318:557-78.
• dc.relation.projectID info:eu-repo/grantAgreement/ES/2PE/PGC2018-101643-B-I00
• dc.rights © 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/
• dc.subject.keyword Stochastic PDEs
• dc.subject.keyword Space-time white noise
• dc.subject.keyword Wave equation
• dc.title Non-existence results for stochastic wave equations in one dimension
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/publishedVersion