arXiv Analytics

Sign in

arXiv:0911.4526 [math.AP]AbstractReferencesReviewsResources

A Strong Maximum Principle for Parabolic Systems in a Convex Set with Arbitrary Boundary

Lawrence Christopher Evans

Published 2009-11-24Version 1

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.

Comments: 7 pages, 0 figures. Submitted to the Proceedings of the American Mathematical Society
Journal: Proc. Amer. Math. Soc. 138 (2010), 3179-3185
Categories: math.AP
Subjects: 35B50, 35K40, 35K57, 35D40
Related articles: Most relevant | Search more
arXiv:2311.16949 [math.AP] (Published 2023-11-28)
Convex hull property for elliptic and parabolic systems of PDE
arXiv:1312.5044 [math.AP] (Published 2013-12-18)
Partial regularity for parabolic systems with VMO-coefficients
arXiv:2302.05649 [math.AP] (Published 2023-02-11)
Regularity theory for parabolic systems with Uhlenbeck structure

Links

Toolbox