Regularity of a Boundary Point for Degenerate Parabolic Equations with Measurable Coefficients

• Date: 2000
• Main Authors: Skrypnik, I. I., Скрыпник, И. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4560
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the continuity of solutions of quasilinear parabolic equations in the neighborhood of the nonsmooth boundary of a cylindrical domain. As a special case, one can consider the equation \(\frac{{\partial u}}{{\partial t}} - \Delta _p u = 0\) with the p-Laplace operator Δp. We prove a...