Math @ Duke

Publications [#354052] of Demetre P Kazaras
Papers Published
 Cao, Xiaodong; Cerenzia, Mark; Kazaras, Demetre, Harnack estimate for the endangered species equation,
Proc. Amer. Math. Soc., vol. 143 no. 10
(2015),
pp. 4537–4545
(last updated on 2020/12/18)
Abstract: We prove a differential Harnack inequality for the Endangered Species Equation, which is a nonlinear parabolic equation. Our derivation relies on an idea related to the parabolic maximum principle. As an application of this inequality, we will show that positive solutions to this equation must blow up in finite time.


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