Boundary-Value Problem for Linear Parabolic Equations with Degeneracies

• Date: 2005
• Main Authors: Pukalskyi, I. D., Пукальский, И. Д.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3605
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In spaces of classical functions with power weight, we prove the correct solvability of a boundary-value problem for parabolic equations with an arbitrary power order of degeneracy of coefficients with respect to both time and space variables.