A necessary condition for the regularity of a boundary point for degenerating parabolic equations with measurable coefficients

• Datum: 2004
• Hauptverfasser: Skrypnik, I. I., Скрыпник, И. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
• Online Zugang: 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...