Optimal Regularity of Mixed Dirichlet-Conormal Boundary Value Problems for Parabolic Operators

DOI10.1137/21M1461344zbMath1484.35103arXiv2101.01654MaRDI QIDQ5037719

Zongyuan Li, Hongjie Dong, Jongkeun Choi

Publication date: 4 March 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.01654

zbMATH Keywords

parabolic equationmixed boundary value problemReifenberg flat domainscylindrical domains with time-dependent separations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (2)

Mixed boundary value problems for parabolic equations in Sobolev spaces with mixed-norms ⋮ The Dirichlet-conormal problem for the heat equation with inhomogeneous boundary conditions

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