Existence-uniqueness and long time behavior for a class of nonlocal nonlinear parabolic evolution equations-Reference-Cited by-同舟云学术

Existence-uniqueness and long time behavior for a class of nonlocal nonlinear parabolic evolution equations

Published:2000-08-17 Issue:12 Volume:128 Page:3483-3492
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ackleh Azmy,Ke Lan

Abstract

We establish existence and uniqueness of solutions for a general class of nonlocal nonlinear evolution equations. An application of this theory to a class of nonlinear reaction-diffusion problems that arise in population dynamics is presented. Furthermore, conditions on the initial population density for this class of problems that result in finite time extinction or persistence of the population is discussed. Numerical evidence corroborating our theoretical results is given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2000-128-12/S0002-9939-00-05912-8/S0002-9939-00-05912-8.pdf

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