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Bounded Solutions of Nonlinear Parabolic Systems with Nonlinear Boundary Conditions
by
Nsoki Mavinga
Department of Mathematics, University of Rochester
Coauthors: Marius Nkashama
We consider coupled systems of two nonlinear parabolic equations on a domain which is unbounded in time (namely the entire real line) and bounded in space with nonlinear boundary conditions. We establish the existence of bounded solutions existing for all time by using a combination of a priori estimates, comparison techniques, interpolation inequalities, approximations, and embedding of function spaces. We illustrate the results with examples which include cooperative or competitive models in ecology.
Date received: August 25, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caww-11.