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