Dao, Nguyen Anh2021-08-232021-08-232021-04-13Dao, 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. 1-11.1072-6691https://hdl.handle.net/10877/14426In 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalNonlocal nonlinear parabolic equationFractional LaplacianFinite time extinctionArticle