Mixed Problem for an Ultraparabolic Equation in Unbounded Domain

• Datum: 2002
• Hauptverfasser: Lavrenyuk, S. P., Protsakh, N. P., Лавренюк, С. П., Процах, Н. П.
• 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/4146
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate a mixed problem for a nonlinear ultraparabolic equation in a certain domain Q unbounded in the space variables. This equation degenerates on a part of the lateral surface on which boundary conditions are given. We establish conditions for the existence and uniqueness of a solution of...