Boundary regularity for parabolic systems in convex domains

2021/10/18 by Bögelein, Verena, Duzaar, Frank, Liao, Naian +1 · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2110.09407

Abstract

In a cylindrical space-time domain with a convex, spatial base, we establish a local Lipschitz estimate for weak solutions to parabolic systems with Uhlenbeck structure up to the lateral boundary, provided homogeneous Dirichlet data are assumed on that part of the lateral boundary.

Cited by

• Parabolic systems beyond standard growth
• Irregular double-phase evolution problem: existence and global regularity

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