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A strong maximum principle for parabolic systems in a convex set with arbitrary boundary
Author(s):
Lawrence
Christopher
Evans
Journal:
Proc. Amer. Math. Soc.
138
(2010),
3179-3185.
MSC (2010):
Primary 35B50, 35K40;
Secondary 35D40
Posted:
May 13, 2010
MathSciNet review:
2653943
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Abstract:
In this paper we prove a strong maximum principle for certain parabolic systems of equations. In particular, our methods place no restriction on the regularity of the boundary of the convex set in which the system takes its values, and therefore our results hold for any convex set. We achieve this through the use of viscosity solutions and their corresponding strong maximum principle.
References:
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Additional Information:
Lawrence
Christopher
Evans
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email:
lcevans@math.mit.edu
DOI:
10.1090/S0002-9939-2010-10495-1
PII:
S 0002-9939(2010)10495-1
Received by editor(s):
November 13, 2009
Posted:
May 13, 2010
Communicated by:
Chuu-Lian Terng
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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