Skip to main content


Journal Article

Large deviations for (1+1)-dimensional stochastic geometric wave equation

Brzezniak Z., Goldys B., Ondreját Martin, Rana N.

: Journal of Differential Equations vol.325, 1 (2022), p. 1-69

: GA19-07140S, GA ČR

: Large deviations, Stochastic geometric wave equation, Riemannian manifold

: 10.1016/j.jde.2022.04.003



(eng): We consider stochastic wave map equation on real line with solutions taking values in a d-dimensional compact Riemannian manifold. We show first that this equation has unique, global, strong in PDE sense, solution in local Sobolev spaces. The main result of the paper is a proof of the Large Deviations Principle for solutions in the case of vanishing noise.

: BA

: 10101