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

Autor:	R, Kavin, Majee, Ananta K
Rok vydání:	2022
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.11036 Zobrazit plný text záznamu View this record from Arxiv