Stochastic nonlinear wave equations in local Sobolev spaces

0345274 - ÚTIA 2011 RIV US eng J - Journal Article
Ondreját, Martin
Stochastic nonlinear wave equations in local Sobolev spaces.
Electronic Journal of Probability. Roč. 15, č. 33 (2010), s. 1041-1091. ISSN 1083-6489. E-ISSN 1083-6489
R&D Projects: GA ČR GAP201/10/0752
Institutional research plan: CEZ:AV0Z10750506
Keywords : stochastic wave equation
Subject RIV: BA - General Mathematics
Impact factor: 0.946, year: 2010
http://library.utia.cas.cz/separaty/2010/SI/ondrejat-0345274.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0186588