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Bibliografie

Journal Article

Weak Solutions to Stochastic Wave Equations with Values in Riemannian Manifolds

Brzezniak Z., Ondreját Martin

: Communications in Partial Differential Equations vol.36, 9 (2011), p. 1624-1653

: CEZ:AV0Z10750506

: GA201/07/0237, GA ČR

: geometric wave equation, stochastic wave equation

: 10.1080/03605302.2011.574243

: http://library.utia.cas.cz/separaty/2011/SI/ondrejat-0362936.pdf

(eng): 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.

: BA