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arXiv:2203.03321 [math.AP]AbstractReferencesReviewsResources

Mixed boundary value problems for parabolic equations in Sobolev spaces with mixed-norms

Jongkeun Choi, Hongjie Dong, Zongyuan Li

Published 2022-03-07Version 1

We establish $L_{q,p}$-estimates and solvability for mixed Dirichlet-conormal problems for parabolic equations in a cylindrical Reifenberg-flat domain with a rough time-dependent separation.

Comments: 18 pages, 2 figures. This is the second part of the original submission arXiv:2101.01654v1, which was divided into two parts as suggested by the referee
Categories: math.AP
Subjects: 35K20, 35B65, 35R05
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