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arXiv · 1505.02265

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

Hitoshi Ishii·Panagiotis E. Souganidis
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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)].

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Hitoshi Ishii, Panagiotis E. Souganidis. 2015-05-09. Metastability for parabolic equations with drift: part II. The quasilinear case. https://doi.org/10.1512/iumj.2017.66.5994

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