Stochastic evolutionary p-Laplace equation: Large Deviation Principles and Transportation Cost Inequality
Probability
2022-10-21 v1 Analysis of PDEs
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 -contraction approach, we show the quadratic transportation cost inequality for the strong solution of the underlying problem.
Cite
@article{arxiv.2210.11036,
title = {Stochastic evolutionary p-Laplace equation: Large Deviation Principles and Transportation Cost Inequality},
author = {Kavin R and Ananta K Majee},
journal= {arXiv preprint arXiv:2210.11036},
year = {2022}
}