arXiv Analytics

Sign in

arXiv:2311.16949 [math.AP]AbstractReferencesReviewsResources

Convex hull property for elliptic and parabolic systems of PDE

Antonín Češík

Published 2023-11-28Version 1

We study the convex hull property for systems of partial differential equations. This is a generalisation of the maximum principle for a single equation. We show that the convex hull property holds for a class of elliptic and parabolic systems of non-linear partial differential equations. In particular, this includes the case of the parabolic $p$-Laplace system. The coupling conditions for coefficients are demonstrated to be optimal by means of respective counterexamples.

Comments: 16 pages
Categories: math.AP
Subjects: 35B50, 35J47, 35K40, 35K59
Related articles: Most relevant | Search more
arXiv:1303.0240 [math.AP] (Published 2013-03-01, updated 2013-04-11)
The Subelliptic $\infty$-Laplace System on Carnot-Carathéodory Spaces
arXiv:2302.05649 [math.AP] (Published 2023-02-11)
Regularity theory for parabolic systems with Uhlenbeck structure
arXiv:1312.5044 [math.AP] (Published 2013-12-18)
Partial regularity for parabolic systems with VMO-coefficients

Links

Toolbox