Many-dimensional Dirichlet and Tricomi problems for one class of hyperbolic-elliptic equations

• Date: 1997
• Main Authors: Aldashev, S. A., Алдашев, С. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5162
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the generalized many-dimensional Lavrent’ev-Bitsadze equation, we prove the unique solvability of the Dirichlet and Tricomi problems. We also establish the existence and uniqueness of a solution of the Dirichlet problem in the hyperbolic part of a mixed domain.