Nonlocal Dirichlet problem for linear parabolic equations with degeneration

• Date: 2007
• Main Authors: Pukalskyi, I. D., Пукальський, І. Д.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3294
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the spaces of classical functions with power weight, we prove the correct solvability of the Dirichlet problem for parabolic equations with nonlocal integral condition with respect to the time variable and an arbitrary power order of degeneration of coefficients with respect to the time and space...