Abstract
Let denote the set of functions which are β-Hölder continuous in t and -Hölder continuous in x with and In this article, we prove a large deviation principles in for the solution to a class of stochastic semilinear equation arising from 1-dimension integro-differential scalar conservation laws. The equation is driven by a double-parameter fractional noise. In addition, we also prove a central limit theorem and establish a moderate deviation principle for the same stochastic partial differential equation.
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