A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equations

• Date: 1997
• Main Authors: Belopol’skaya, Ya. I., Білопільська, Я. І.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5012
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove a priori estimates for a solution of the first initial boundary-value problem for a system of fully nonlinear partial differential equations (PDE) in a bounded domain. In the proof, we reduce the initial boundary-value problem to a problem on a manifold without boundary and then reduce the...