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

Authors

  • E. L. Tsvetkov

Abstract

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 QrQ. The conditions are considered under which the generalized solutions of the third boundary-value problem remain smooth on the boundaries of the neighboring subdomains Qr.

Published

25.08.1993

Issue

Section

Research articles

How to Cite

Tsvetkov, E. L. “Smoothness of Generalized Solutions of the Third Boundary-Value Problem for an Elliptic Differential-Difference Equation”. Ukrains’kyi Matematychnyi Zhurnal, vol. 45, no. 8, Aug. 1993, pp. 1140–1150, https://umj.imath.kiev.ua/index.php/umj/article/view/5911.