A maximum principle for semilinear parabolic systems-Reference-Cited by-同舟云学术

A maximum principle for semilinear parabolic systems

Published:1979 Issue:1 Volume:74 Page:66-70
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Martin Robert H.

Abstract

We develop a criterion insuring that every component of the solution to a system of semilinear parabolic equations is strictly positive for positive time. This criterion involves the strict (component-wise) positiveness of solutions to a related ordinary differentiable system.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1979-074-01/S0002-9939-1979-0521875-0/S0002-9939-1979-0521875-0.pdf

Reference8 articles.

1. Invariant sets for semilinear parabolic and elliptic systems;Amann, H.,1979

2. J. S. Griffith, Mathematics of cellular control processes. I. Negative feedback to one gene, J. Theoret. Biol. 20 (1968), 202-208.

3. \bysame, Mathematics of cellular control processes. II. Positive feedback to one gene, J. Theoret. Biol. 20 (1968), 209-216.

4. Über die Invarianz einer konvexen Menge in Bezug auf Systeme von gewöhnlichen, parabolischen und elliptischen Differentialgleichungen;Lemmert, Roland;Math. Ann.,1977

5. Relatively continuous nonlinear perturbations of analytic semigroups;Lightbourne, J. H., III;Nonlinear Anal.,1976

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