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Strong maximum principles for weakly coupled systems of quasilinear parabolic inequalities

Published online by Cambridge University Press:  09 April 2009

M. A. Dow
M. A. Dow
Affiliation:
Department of External Studies, University of Queensland, Brisbane, Australia
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Abstract

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Výborný and I (1972) proved maximum principles for a quasilinear elliptic operator where the boundary satisfied a smoothness condition weaker than the interior sphere property. In this paper I extend these to parabolic operators of a similar form and through a simple device to weakly coupled systems of such operators. Finally, I extend all of these results to an operator similar to the “parabolic” case of an operator introduced by Redheffer (1971). His conditions on the coefficients are replaced by conditions analogous to those Dow and Výborný (1972).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 1 , February 1975 , pp. 103 - 120
Copyright
Copyright © Australian Mathematical Society 1975

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