Spreading in a cone for the Fisher-KPP equation
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DOI: 10.1016/j.jde.2019.07.014
Abstract: Abstract In this paper we consider the spreading phenomena in the Fisher-KPP equation in a high dimensional cone with Dirichlet boundary condition. We show that any solution starting from a nonnegative and compact supported initial… read more here.
Keywords: spreading cone; fisher kpp; kpp equation;
Gradient estimates for the Fisher–KPP equation on Riemannian manifolds
Sign Up to like & getrecommendations! Published in 2018 at "Boundary Value Problems"
DOI: 10.1186/s13661-018-0946-6
Abstract: In this paper, we consider positive solutions to the Fisher–KPP equation on complete Riemannian manifolds. We derive the gradient estimate. Using the estimate, we get the classic Harnack inequality which extends the recent result of… read more here.
Keywords: gradient estimates; kpp equation; riemannian manifolds; estimates fisher ... See more keywords