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arXiv · 2210.11036

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

Kavin R·Ananta K Majee
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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 $L^1$-contraction approach, we show the quadratic transportation cost inequality for the strong solution of the underlying problem.

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Kavin R, Ananta K Majee. 2022-10-20. Stochastic evolutionary p-Laplace equation: Large Deviation Principles and Transportation Cost Inequality. https://arxiv.org/abs/2210.11036

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