Correct solvability of Solonnikov–Eidel’man parabolic initial-value problems

• Date: 2009
• 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 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3048
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider initial-value problems for a new class of systems of equations that combine the structures of Solonnikov parabolic systems and Eidel’man parabolic systems. We prove a theorem on the correct solvability of these problems in Hölder spaces of rapidly increasing functions and obtain an estim...