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

Abstract

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.

arXiv commentminor revision, accepted in Calc. Var. Partial Differential Equations. arXiv admin note: text overlap with arXiv:2101.01654