Extinction in finite time of solutions to fractional parabolic porous medium equations with strong absorption
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Date
2021-04-13
Authors
Dao, Nguyen Anh
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Nonlocal nonlinear parabolic equation, Fractional Laplacian, Finite time extinction
Citation
Dao, N. A. (2021). Extinction in finite time of solutions to fractional parabolic porous medium equations with strong absorption. <i>Electronic Journal of Differential Equations, 2021</i>(29), pp. 1-11.
Rights
Attribution 4.0 International