Existence-uniqueness and long time behavior for a class of nonlocal nonlinear parabolic evolution equations
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- by Azmy S. Ackleh and Lan Ke PDF
- Proc. Amer. Math. Soc. 128 (2000), 3483-3492 Request permission
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.References
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Additional Information
- Azmy S. Ackleh
- Affiliation: Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010
- MR Author ID: 351434
- Email: ackleh@louisiana.edu
- Lan Ke
- Affiliation: Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010
- Email: ke@louisiana.edu
- Received by editor(s): July 20, 1998
- Published electronically: August 17, 2000
- Communicated by: David S. Tartakoff
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3483-3492
- MSC (2000): Primary 35K50, 35K55, 35K99, 35B40, 92D25
- DOI: https://doi.org/10.1090/S0002-9939-00-05912-8
- MathSciNet review: 1778276