On a nonlocal problem for a parabolic equation

• Date: 1995
• Main Authors: Berezansky, Yu. M., Mitropolskiy, Yu. A., Shkhanukov-Lafishev, M. Kh., Березанский, Ю. М., Митропольский, Ю. А., Шхануков-Лафишев, М. Х.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5473
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study a nonlocal boundary-value problem for a parabolic equation in a two-dimensional domain, establish ana priori estimate in the energy norm, prove the existence and uniqueness of a generalized solution from the classW 2 1,0 (Q T ), and construct a difference scheme for the second-order appro...