Large deviations for (1 + 1)-dimensional stochastic geometric wave equation
نویسندگان
چکیده
We consider stochastic wave map equation on real line with solutions taking values in a d-dimensional compact Riemannian manifold. show first that this has unique, global, strong PDE sense, solution local Sobolev spaces. The main result of the paper is proof Large Deviations Principle for case vanishing noise.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2022
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2022.04.003