Nonlocal Parabolic Problem with Degeneration

• Date: 2014
• Main Authors: Isaryuk, I. M., Pukalskyi, I. D., Ісарюк, I. М., Пукальський, І. Д.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2124
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the problem for a second-order linear parabolic equation with nonlocal integral condition in the time variable and power singularities in the coefficients of any order with respect to the time and space variables. By using the maximum principle and a priori estimates, we establish the exist...