Boundary regularity for parabolic systems in convex domains

Verena Bögelein; Frank Duzaar; Naian Liao; Christoph Scheven

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arXiv · 2110.09407

Boundary regularity for parabolic systems in convex domains

Verena Bögelein·Frank Duzaar·Naian Liao·Christoph Scheven

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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.

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Verena Bögelein, Frank Duzaar, Naian Liao, Christoph Scheven. 2021-10-18. Boundary regularity for parabolic systems in convex domains. https://arxiv.org/abs/2110.09407

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