General parabolic initial-boundary value problems in Hörmander spaces
arXiv:1610.06862
Abstract
We investigate a general nonhomogeneous parabolic initial-boundary value problem in some anisotropic Hörmander inner product spaces. We prove that the operators corresponding to this problem are isomorphisms between appropriate Hörmander spaces. As an application of this result, we establish a theorem on the local increase in regularity of solutions to the problem.
30 pages, Ukrainian