Large Deviations for $(1+1)$-dimensional Stochastic Geometric Wave Equation
arXiv (Cornell University)(2020)
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.
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Key words
large deviations,wave
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