Open AccessOn Solvability of a Linear Parabolic Problem with Nonlocal Boundary Conditions
Author(s) -
О. В. Солонуха
Publication year - 2021
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2021-67-2-349-362
Subject(s) - mathematics , mathematical analysis , boundary (topology) , boundary value problem
A linear parabolic equation with boundary conditions of the Bitsadze-Samarskii type is considered. An existence and uniqueness theorem for a generalized solution is proved, and estimates are obtained.