English

Convergence rate for homogenization of a nonlocal model with oscillating coefficients

Functional Analysis 2021-04-01 v1

Abstract

This letter deals with homogenization of a nonlocal model with Levy-type operator of rapidly oscillating coefficients. This nonlocal model describes mean residence time and other escape phenomena for stochastic dynamical systems with non-Gaussian Levy noise. We derive an effective model with a specific convergence rate. This enables efficient analysis and simulation of escape phenomena under non-Gaussian fluctuations.

Keywords

Cite

@article{arxiv.2103.16805,
  title  = {Convergence rate for homogenization of a nonlocal model with oscillating coefficients},
  author = {Li Lin and Jinqiao Duan},
  journal= {arXiv preprint arXiv:2103.16805},
  year   = {2021}
}