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Weak Solutions to Stochastic Wave Equations with Values in Riemannian Manifolds
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SYSNO ASEP 0362936 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Weak Solutions to Stochastic Wave Equations with Values in Riemannian Manifolds Author(s) Brzezniak, Z. (GB)
Ondreját, Martin (UTIA-B) RIDNumber of authors 2 Source Title Communications in Partial Differential Equations. - : Taylor & Francis - ISSN 0360-5302
Roč. 36, č. 9 (2011), s. 1624-1653Number of pages 30 s. Language eng - English Country US - United States Keywords geometric wave equation ; stochastic wave equation Subject RIV BA - General Mathematics R&D Projects GA201/07/0237 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000299271700005 EID SCOPUS 80051705232 DOI 10.1080/03605302.2011.574243 Annotation Existence of a global weak solution of a stochastic wave equation with values in a compact Riemannian manifod driven by a spatially homogeneous Wiener process with finite spectral measure is proved. A recently introduced general method of constructing weak solutions of SPDEs that does not rely on any martingale representation theorem is employed. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2012
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