Metastability for parabolic equations with drift: part II. The quasilinear case

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)].

38 pages; This is a corrected version of the previously posted two versions, and the correction is made by replacing typos

References in corpus (1)

• Metastability for parabolic equations with drift: part 1

Cited by in corpus (1)

• Exit time and principal eigenvalue of non-reversible elliptic diffusions