Abstract
This article deals with mixed boundary value problem for an elliptic differential-difference equation in a cylinder. There are obtained results on the smoothness of generalized solutions of such problem in subdomains, and necessary and sufficient conditions for the preservation of smoothness on the boundaries of neighboring subdomains.
Acknowledgments
The authors are thankful to A. Ibragimov for valuable discussion.
Disclosure statement
No potential conflict of interest was reported by the authors.