Los, Valerii2021-11-142021-11-142017Los, V. Initial-boundary value problems for two-dimensional parabolic equations in Hörmander spaces / Valerii Los // Methods of Functional Analysis and Topology. – 2017. – Vol. 23, No. 2. – Pp. 177–191.https://ela.kpi.ua/handle/123456789/45085We investigate a general nonhomogeneous initial-boundary value problem for a two-dimensional parabolic equation in some anisotropic Hörmander inner product spaces. We prove that the operators corresponding to this problem are isomorphisms between appropriate Hormander spaces.enparabolic initial-boundary value problemHörmander spaceslowly varying functionisomorphism propertyinterpolation with a function parameterArticlePp. 177-191