Nonlinear stochastic Laplace equation: Large Deviations and Measure Concentration
Probability
2024-08-28 v1 Analysis of PDEs
Abstract
In this paper, a large deviation principle for the strong solution of the p-Laplace equation on unbounded domain driven by small multiplicative Brownian noise is established. The weak convergence approach and the localized time increment estimate plays a crucial role to establish the large deviation principle. Moreover, based on the Girsanov transformation and the standard L2-uniqueness approach, the quadratic transportation cost information inequality is proved for the strong solution to the underlying problem which then implies the measure concentration phenomenon.
Cite
@article{arxiv.2408.14742,
title = {Nonlinear stochastic Laplace equation: Large Deviations and Measure Concentration},
author = {Ananta K Majee},
journal= {arXiv preprint arXiv:2408.14742},
year = {2024}
}