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

Azmy S. Ackleh | Zendy; Ke Lan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Azmy S. Ackleh,

Ke Lan

Publication year - 2000

Publication title -

proceedings of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.968

H-Index - 84

eISSN - 1088-6826

pISSN - 0002-9939

DOI - 10.1090/s0002-9939-00-05912-8

Subject(s) - uniqueness , nonlinear system , class (philosophy) , mathematics , population , extinction (optical mineralogy) , reaction–diffusion system , persistence (discontinuity) , mathematical analysis , diffusion , statistical physics , physics , computer science , thermodynamics , demography , geotechnical engineering , quantum mechanics , artificial intelligence , sociology , optics , engineering

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research