Free boundary problems with nonlocal and local diffusions II: Spreading-vanishing and long-time behavior
Analysis of PDEs
2019-11-28 v1
Abstract
This is part II of our study on the free boundary problems with nonlocal and local diffusions. In part I, we obtained the existence, uniqueness, regularity and estimates of global solution. In part II here, we show a spreading-vanishing dichotomy, and provide the criteria of spreading and vanishing, as well as the long time behavior of solution when spreading happens.
Cite
@article{arxiv.1911.11957,
title = {Free boundary problems with nonlocal and local diffusions II: Spreading-vanishing and long-time behavior},
author = {Jianping Wang and Mingxin Wang},
journal= {arXiv preprint arXiv:1911.11957},
year = {2019}
}
Comments
18 pages