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Stochastic nonlinear wave equations in local Sobolev spaces
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SYSNO ASEP 0345274 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Stochastic nonlinear wave equations in local Sobolev spaces Author(s) Ondreját, Martin (UTIA-B) RID Source Title Electronic Journal of Probability. - : Institute of Mathematical Statistics - ISSN 1083-6489
Roč. 15, č. 33 (2010), s. 1041-1091Number of pages 51 s. Language eng - English Country US - United States Keywords stochastic wave equation Subject RIV BA - General Mathematics R&D Projects GAP201/10/0752 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000280096700002 EID SCOPUS 77955458437 DOI 10.1214/EJP.v15-789 Annotation Existence of weak solutions of stochastic wave equations with nonlinearities of a critical growth driven by spatially homogeneous Wiener processes is established in local Sobolev spaces and local energy estimates for these solutions are proved. A new method to construct weak solutions is employed. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2011
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