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Journal Article

Stochastic nonlinear wave equations in local Sobolev spaces

Ondreját Martin

: Electronic Journal of Probability vol.15, 33 (2010), p. 1041-1091

: CEZ:AV0Z10750506

: GAP201/10/0752, GA ČR

: stochastic wave equation

: 10.1214/EJP.v15-789

: http://library.utia.cas.cz/separaty/2010/SI/ondrejat-0345274.pdf

(eng): 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.

: BA