Optimal Regularity of Mixed Dirichlet-Conormal Boundary Value Problems for Parabolic Operators
Optimal Regularity of Mixed Dirichlet-Conormal Boundary Value Problems for Parabolic Operators
We obtain the regularity of solutions in Sobolev spaces for the mixed Dirichlet-conormal problem for parabolic operators in cylindrical domains with time-dependent separations, which is the first of its kind. Assuming the boundary of the domain to be Reifenberg-flat and the separation to be locally sufficiently close to a Lipschitz …