On sufficient conditions for generalized solutions of some mixed parabolic problems to be classical

• Date: 2016
• Author Affiliations: В. М. Лось — Нацiональний технiчний унiверситет України "КПI"
• Keywords: keywords
• Main Authors: Los, V. M., Лось, В. М.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2016
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/215
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Considering the mixed problem for the second order linear parabolic equation with the Dirichlet boundary condition, we obtain new sufficient conditions under which the generalized solution to the problem is classical. These conditions are formulated in terms of the belonging of the right-hand sides...