Boundary regularity for parabolic systems in convex domains
Verena Bögelein, Frank Duzaar, Naian Liao, Christoph Scheven · Journal of the London Mathematical Society · 2022
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.