Initial-boundary value problems for two-dimensional parabolic equations in Hörmander spaces
Вантажиться...
Дата
2017
Автори
Los, Valerii
Науковий керівник
Назва журналу
Номер ISSN
Назва тому
Видавець
Institute of Mathematics NAS of Ukraine
Анотація
We 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.
Опис
Ключові слова
parabolic initial-boundary value problem, Hörmander space, slowly varying function, isomorphism property, interpolation with a function parameter
Бібліографічний опис
Los, 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.