Strong maximum principles for weakly coupled systems of quasilinear parabolic inequalities

Dow M.A. and Silberstein J.P.O. (1975) Strong maximum principles for weakly coupled systems of quasilinear parabolic inequalities. Journal of the Australian Mathematical Society, 19 1: 103-120. doi:10.1017/S1446788700023582


Author Dow M.A.
Silberstein J.P.O.
Title Strong maximum principles for weakly coupled systems of quasilinear parabolic inequalities
Journal name Journal of the Australian Mathematical Society   Check publisher's open access policy
ISSN 1446-8107
Publication date 1975-01-01
Sub-type Article (original research)
DOI 10.1017/S1446788700023582
Open Access Status Not yet assessed
Volume 19
Issue 1
Start page 103
End page 120
Total pages 18
Subject 2600 Mathematics
Abstract Vyborny 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 Vyborny (1972).
Q-Index Code C1
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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Created: Tue, 13 Sep 2016, 12:28:04 EST by System User