Solonnikov parabolic systems with quasihomogeneous structure

• Date: 2006
• Main Authors: Ivasyshen, S. D., Ivasyuk, H. P., Івасишен, С. Д., Івасюк, Г. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3550
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a new class of systems of equations that combine the structures of Solonnikov and Éidel’man parabolic systems. We prove a theorem on the reduction of a general initial-value problem to a problem with zero initial data and a theorem on the correct solvability of an initial-value problem i...