Electronic Journal of Differential Equations, 
Vol. 2021 (2021), No. 29, pp. 1-11.

Title: Extinction in finite time of solutions to fractional parabolic porous medium equations
       with strong absorption
       
Author: Nguyen Anh Dao (Univ. of Economics Ho Chi Minh City, Viet Nam)

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, L<sup>p</sup>-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.