Classical solvability of a problem with moving boundaries for a hyperbolic system of quasilinear equations

• Date: 2009
• Main Authors: Andrusyak, R. V., Burdeina, N. O., Kirilich, V. M., Андрусяк, Р. В., Бурдейна, Н. О., Кирилич, В. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3064
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Using the method of characteristics and the method of contracting mappings, we establish the local classical solvability of a problem for a hyperbolic system of quasilinear first-order equations with moving boundaries and nonlinear boundary conditions. Under additional assumptions on the monotonicit...