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December  2020, 25(12): 4721-4736. doi: 10.3934/dcdsb.2020121

## Free boundary problems with nonlocal and local diffusions Ⅱ: Spreading-vanishing and long-time behavior

 School of Mathematics, Harbin Institute of Technology, Harbin 150001, China

* Corresponding author: Mingxin Wang

Received  November 2019 Revised  January 2020 Published  March 2020

Fund Project: This work is supported by NSFC Grants 11771110, 11971128

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.

Citation: Jianping Wang, Mingxin Wang. Free boundary problems with nonlocal and local diffusions Ⅱ: Spreading-vanishing and long-time behavior. Discrete & Continuous Dynamical Systems - B, 2020, 25 (12) : 4721-4736. doi: 10.3934/dcdsb.2020121
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