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

• Datum: 1997
• Hauptverfasser: Belopol’skaya, Ya. I., Білопільська, Я. І.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5012
• Назва журналу: 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...