Mixed problem for a nonlinear hyperbolic equation in a domain unbounded with respect to space variables

• Date: 2007
• Main Authors: Lavrenyuk, S. P., Pukach, P. Ya., Лавренюк, С. П., Пукач, П. Я.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3408
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the first mixed problem for a quasilinear hyperbolic equation of the second order with power nonlinearity in a domain unbounded with respect to space variables. We consider the case of an arbitrary number of space variables. We obtain conditions for the existence and uniqueness of t...