Foondun, MohammudNualart, Eulàlia2023-07-182023-07-182022Foondun 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.2022.02.0380022-0396http://hdl.handle.net/10230/57604The 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.application/pdfeng© 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/).info:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.jde.2022.02.038Stochastic PDEsSpace-time white noiseWave equationinfo:eu-repo/semantics/openAccess