A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable

• Date: 1998
• Main Authors: Antypko, I. I., Антыпко, И. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4910
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a solution u(x, t) of the general linear evolution equation of the second order with respect to time variable given on the ball Π(T) = {(x,t): xε R n, t ε [0, T]} and study the dependence of the behavior of this solution on the behavior of the functions at infinity.