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Influence of mixed boundary conditions in some reaction–diffusion systems

Published online by Cambridge University Press:  14 November 2011

Robert H. Martin  and
Michel Pierre
Robert H. Martin
Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, NC 28695, U.S.A.
Michel Pierre
Affiliation:
Institut Elie Cartan, Université de Nancy I, UMR CNRS 9973, Inria-Lorraine, ProjectNUMATH, B.P. 239, 54506-Vandoeuvre, France
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Synopsis

We analyse global existence of solutions to a system of two reaction–diffusion equations for whicha ‘balance’ law holds. The main aim is to make clear the influence of different combinations ofboundary conditions on global existence under the assumption that the nonlinearities satisfy polynomial growth estimates.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 5 , 1997 , pp. 1053 - 1066
Copyright
Copyright © Royal Society of Edinburgh 1997

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