A necessary condition for the regularity of a boundary point for degenerating 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/3801
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove a necessary condition for the regularity of a point on a cylindrical boundary for solutions of second-order quasilinear parabolic equations of divergent form whose coefficients have a superlinear growth relative to derivatives with respect to space variables. This condition coincides with t...