Metastability for parabolic equations with drift: part II. The quasilinear case
Analysis of PDEs
2020-04-21 v3
Abstract
This is the second part of our series of papers on metastability results for parabolic equations with drift. The aim is to present a self-contained study, using partial differential equations methods, of the metastability properties of quasi-linear parabolic equations with a drift and to obtain results similar to those in Freidlin and Koralov [Nonlinear stochastic perturbations of dynamical systems and quasi-linear parabolic PDE's with a small parameter, Probab. Theory Related Fields 147 (2010), ArXiv:0903.0428v2 (2012)].
Keywords
Cite
@article{arxiv.1505.02265,
title = {Metastability for parabolic equations with drift: part II. The quasilinear case},
author = {Hitoshi Ishii and Panagiotis E. Souganidis},
journal= {arXiv preprint arXiv:1505.02265},
year = {2020}
}
Comments
38 pages; This is a corrected version of the previously posted two versions, and the correction is made by replacing typos