Conditions for solutions of the second boundary-value problem for parabolic equations to be classical

• Date: 2018
• 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 2018
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/257
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Considering the initial-boundary value problem for the second order linear parabolic equation with the general boundary condition of first order, we obtain new sufficient conditions under which the generalized solution to the problem is classical. These conditions are formulated in terms of the belo...