带漂移抛物方程的亚稳性:第二部分. 拟线性情形
偏微分方程分析
2020-04-21 v3
摘要
这是我们关于带漂移抛物方程亚稳性结果系列论文的第二部分。旨在利用偏微分方程方法,对带漂移的拟线性抛物方程的亚稳性性质给出一个自包含的研究,并获得类似于 Freidlin 和 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)] 中的结果。
引用
@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}
}
备注
38 pages; This is a corrected version of the previously posted two versions, and the correction is made by replacing typos