Extinction in finite time of solutions to fractional parabolic porous medium equations with strong absorption
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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.
CitationDao, N. A. (2021). Extinction in finite time of solutions to fractional parabolic porous medium equations with strong absorption. Electronic Journal of Differential Equations, 2021(29), pp. 1-11.
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