On a nonlocal problem for a parabolic equation

  • Yu. M. Berezansky
  • Yu. A. Mitropolskiy
  • M. Kh. Shkhanukov-Lafishev

Abstract

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 approximation.
Published
25.06.1995
How to Cite
BerezanskyY. M., MitropolskiyY. A., and Shkhanukov-LafishevM. K. “On a Nonlocal Problem for a Parabolic Equation”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 47, no. 6, June 1995, pp. 790–800, https://umj.imath.kiev.ua/index.php/umj/article/view/5473.
Section
Research articles