Nonlocal boundary-value problem for parabolic equations with variable coefficients

• Date: 1995
• Main Authors: Zadorozhna, N. M., Ptashnik, B. I., Задорожна, П. М., Пташник, Б. Й.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5485
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the boundary-value problem for Petrovskii parabolic equations of arbitrary order with variable coefficients with conditions nonlocal in time. We establish conditions for the existence and uniqueness of a classical solution of this problem and prove metric theorems on lower bounds of small d...