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

Zdzisław Brzeźniak,Ben Gołdys,Martin Ondreját,Nimit Rana

doi:10.1016/j.jde.2022.04.003

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

Zdzisław Brzeźniak, Ben Gołdys + Show 2 more

Open Access

https://doi.org/10.1016/j.jde.2022.04.003

Copy DOI

Journal: Journal of Differential Equations	Publication Date: Apr 13, 2022
Citations: 3

Affiliation: Czech Academy of Sciences, Institute of Information Theory and Automation, University of York, Bielefeld University, University of Sydney

#Local Sobolev Spaces #PDE Sense + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

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.

Full Text