Weak Solutions to Stochastic Wave Equations with Values in Riemannian Manifolds

0362936 - ÚTIA 2012 RIV US eng J - Journal Article
Brzezniak, Z. - Ondreját, Martin
Weak Solutions to Stochastic Wave Equations with Values in Riemannian Manifolds.
Communications in Partial Differential Equations. Roč. 36, č. 9 (2011), s. 1624-1653. ISSN 0360-5302. E-ISSN 1532-4133
R&D Projects: GA ČR GA201/07/0237
Institutional research plan: CEZ:AV0Z10750506
Keywords : geometric wave equation * stochastic wave equation
Subject RIV: BA - General Mathematics
Impact factor: 0.894, year: 2011
http://library.utia.cas.cz/separaty/2011/SI/ondrejat-0362936.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0199102