dc.contributor.author Millet, Annie dc.contributor.author Sanz-Solé, Marta dc.date.accessioned 2019-11-13T07:54:04Z dc.date.available 2019-11-13T07:54:04Z dc.date.issued 2019-11-13 dc.identifier.uri http://publications.mfo.de/handle/mfo/3683 dc.description.abstract We prove existence and uniqueness of a random field solution $(u(t,x);(t,x)\in [0,T]\times \mathbb{R}^d)$ to a stochastic wave equation in dimensions $d=1,2,3$ with diffusion and drift coefficients of the form $|x| \big( en_US \ln_+(|x|) \big)^a$ for some $a$>0. The proof relies on a sharp analysis of moment estimates of time and space increments of the corresponding stochastic wave equation with globally Lipschitz coefficients. We give examples of spatially correlated Gaussian driving noises where the results apply. dc.language.iso en_US en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2019,26 dc.subject Stochastic wave equation en_US dc.subject Super-linear coefficients en_US dc.subject Global well-posedness en_US dc.title Global Solutions to Stochastic Wave Equations with Superlinear Coefficients en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2019-26 local.scientificprogram Research in Pairs 2018 en_US local.series.id OWP-2019-26 en_US local.subject.msc 60 en_US local.subject.msc 35 en_US
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