Classical solution of parabolic mixed problem and $2b$-anisotropic Hörmander spaces

• Date: 2015
• Author Affiliations: В. М. Лось — Чернігівський національний технологічний університет
• Keywords: keywords
• Main Authors: Los, V. M., Лось, В. М.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/199
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We obtained new sufficient conditions under which the generalized solution of the parabolic initial-boundary value problem with homogeneous initial Cauchy data will be classic. Conditions formulated in terms of inclusion right-hand sides of the problem in some $2b$-anisotropic Hormander spaces.