Extinction in finite time of solutions to fractional parabolic porous medium equations with strong absorption

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, \(L^p\)-estimates, and decay estimates. Also, we show that weak solutions must vanish after a finite time, even for large initial data. For more information see https://ejde.math.txstate.edu/Volumes/2021/29/abstr.html