Boundary regularity for parabolic systems in convex domains

Bögelein V, Duzaar F, Liao N, Scheven C (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Journal of the London Mathematical Society-Second Series London Mathematical Society

DOI: 10.1112/jlms.12545

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.

Authors with CRIS profile

Frank Duzaar Lehrstuhl für Partial Differential Equations

Involved external institutions

Universität Duisburg-Essen (UDE) DE Germany (DE) Universität Salzburg (Paris Lodron Universität Salzburg) AT Austria (AT)

How to cite

APA:

Bögelein, V., Duzaar, F., Liao, N., & Scheven, C. (2022). Boundary regularity for parabolic systems in convex domains. Journal of the London Mathematical Society-Second Series. https://doi.org/10.1112/jlms.12545

MLA:

Bögelein, Verena, et al. "Boundary regularity for parabolic systems in convex domains." Journal of the London Mathematical Society-Second Series (2022).

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