Boundary-Value Problem with Impulsive Conditions and Degeneration for Parabolic Equations

• Date: 2015
• 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 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2071
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider the second boundary-value problem for a parabolic equation with power singularities in the coefficients of space variables and impulsive conditions in the time variable. By using the maximum principle and a priori estimates, we establish the existence and uniqueness of the solution of po...