Stochastic evolutionary p-Laplace equation: Large Deviation Principles and Transportation Cost Inequality

2022/10/20 by R, Kavin, Majee, Ananta K
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2210.11036

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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