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- W3035173658 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. Our proof relies on a new version of the weak convergence approach by Budhiraja and Dupuis (Probab. Math. Statist., 2000) suitable for the analysis of stochastic wave maps in local Sobolev spaces." @default.
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- W3035173658 date "2020-06-12" @default.
- W3035173658 modified "2023-09-27" @default.
- W3035173658 title "Large Deviations for Stochastic Geometric Wave Equation" @default.
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