Theorems on isomorphisms for some parabolic initial-boundary-value problems in Hörmander spaces: limiting case

• Date: 2016
• Main Authors: Los’, V. M., Лось, В. М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1878
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In Hilbert Hörmander spaces, we study the initial-boundary-value problems for arbitrary parabolic differential equations of the second order with Dirichlet boundary conditions or general boundary conditions of the first order in the case where the solutions of these problems belong to the space $H^{...