Large Deviations for $(1+1)$-dimensional Stochastic Geometric Wave Equation
Probability
2021-10-26 v2
Abstract
We consider stochastic wave map equation on real line with solutions taking values in a -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.
Keywords
Cite
@article{arxiv.2006.07108,
title = {Large Deviations for $(1+1)$-dimensional Stochastic Geometric Wave Equation},
author = {Zdzisław Brzeźniak and Ben Goldys and Martin Ondreját and Nimit Rana},
journal= {arXiv preprint arXiv:2006.07108},
year = {2021}
}
Comments
The current paper is an expanded and corrected version of the previous submission. Major change is the addition of Lemma 5.5. Martin Ondrej\'at's name has been added as a new author. The title of the paper has also been modified to a more suitable one to our results