Elliptic and Parabolic Equations - Abstract
Softova, Lubomira G.
We study strong solvability for two kind of boundary problems for linear uniformly parabolic operators with VMO coefficients. The right-hand side belongs to the generalized Morrey spaces with weight satisfying suitable bubbling and integral conditions. It is obtained continuity of singular and non singular integrals that permits to prove a priori estimates and unique solvability of the Dirichlet and oblique derivative problem in generalized Sobolev--Morrey spaces.