Stochastic evolutionary p-Laplace equation: Large Deviation Principles and Transportation Cost Inequality
Abstract
In this paper, we establish large deviation principle for the strong solution of evolutionary p-Laplace equation driven by small multiplicative Brownian noise, where the weak convergence approach plays a key role. Moreover, by using Girsanov transformation along with L1-contraction approach, we show the quadratic transportation cost inequality for the strong solution of the underlying problem.
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