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

preprint2022arXivOpen access

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.

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

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