Nguyen Anh Dao
Abstract:
In this article we study the solutions of a general fractional parabolic porous medium
equation with a non-Lipschitz absorption term.
We obtain the existence of weak solutions, Lp-estimates, and decay estimates.
Also, we show that weak solutions must vanish after a finite time,
even for large initial data.
Submitted December 11, 2020. Published April 13, 2021.
Math Subject Classifications: 35R11, 35K65.
Key Words: Nonlocal nonlinear parabolic equation; fractional Laplacian;
finite time extinction.
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Nguyen Anh Dao Institute of Applied Mathematics University of Economics Ho Chi Minh City, Viet Nam email: anhdn@ueh.edu.vn |
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