Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation

• Date: 1993
• Main Authors: Tsvetkov, E. L., Цветков, Е. Л.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5911
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Unlike the case of elliptic differential equations, generalized solutions of elliptic differential-difference equations may be nonsmooth on an entire domain $Q$, only preserving smoothness on certain subdomains $Q_r \subset Q$. The conditions are considered under which the generalized solutions of t...