Strong solutions to stochastic wave equations with values in Riemannian manifolds

0089684 - MÚ 2008 RIV US eng J - Journal Article
Brzezniak, Z. - Ondreját, Martin
Strong solutions to stochastic wave equations with values in Riemannian manifolds.
[Silná řešení stochastických vlnových rovnic s hodnotami v Riemannových varietách.]
Journal of Functional Analysis. Roč. 253, č. 2 (2007), s. 449-481. ISSN 0022-1236. E-ISSN 1096-0783
R&D Projects: GA ČR GA201/04/0750
Institutional research plan: CEZ:AV0Z10190503
Keywords : stochastic wave equation * geometric wave equation
Subject RIV: BA - General Mathematics
Impact factor: 0.893, year: 2007

We prove existence and uniqueness of a global solution of a stochastic wave equation in an arbitrary Riemannian manifold. The solution is defined on the 1+1 dimensional Minkowski space, and the driving noise is a spatially homogeneous Wiener process.

Silná řešení stochastických vlnových rovnic s hodnotami v Riemannových varietách
Permanent Link: http://hdl.handle.net/11104/0150819