Regularity of a boundary point for singular parabolic equations with measurable coefficients

• Дата: 2004
• Автори: Skrypnik, I. I., Скрыпник, И. И.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2004
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3772
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate the continuity of solutions of quasilinear parabolic equations near the nonsmooth boundary of a cylindrical domain. We prove a sufficient condition for the regularity of a boundary point, which coincides with the Wiener condition for the Laplace p-operator. The model case of the equat...