Nonlocal boundary-value problem for parabolic equations

• Date: 1994
• Main Authors: Zadorozhna, N. M., Mel'nyk, O. M., Ptashnik, B. I., Задорожна, П. М., Мельник, О. М., Пташник, Б. Й.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5573
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the problem for Shilov parabolic equations of arbitrary order with constant coefficients with conditions nonlocal in time and periodic in space variables. We establish conditions for the existence and uniqueness of a classical solution of the problem and prove metric theorems on lower bound...