On removable sets of solutions of second-order elliptic and parabolic equations in nondivergent form

• Date: 2009
• Main Authors: Gadjiev, T. S., Mamedova, V. A., Гаджиїв, Т. С., Мамедова, В. А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3116
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider nondivergent elliptic and parabolic equations of the second order whose leading coefficients satisfy the uniform Lipschitz condition. We find a sufficient condition for the removability of a compact set with respect to these equations in the space of Hölder functions.