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arXiv · 1911.11957

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

Jianping Wang·Mingxin Wang
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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.

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Jianping Wang, Mingxin Wang. 2019-11-27. Free boundary problems with nonlocal and local diffusions II: Spreading-vanishing and long-time behavior. https://arxiv.org/abs/1911.11957

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