Galerkin Method for First-Order Hyperbolic Systems with Two Independent Variables

• Datum: 2002
• Hauptverfasser: Lavrenyuk, S. P., Oliskevych, M. O., Лавренюк, С. П., Оліскевич, М. О.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4174
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate a mixed problem for a weakly nonlinear first-order hyperbolic system with two independent variables in bounded and unbounded domains. Assuming that the nonlinearities are monotonic, we obtain conditions for the existence and uniqueness of a generalized solution; these conditions do no...