Maximal regularity for nonsmooth parabolic problems in Sobolev-Morrey spaces
Maximal regularity for nonsmooth parabolic problems in Sobolev-Morrey spaces
This text is devoted to maximal regularity results for second-order parabolic systems on Lipschitz domains of space dimension $n \ge 3$ with diagonal principal part, nonsmooth coefficients, and nonhomogeneous mixed boundary conditions. We show that the corresponding class of initial-value problems generates isomorphisms between two scales of Sobolev--Morrey spaces for …