2019
Том 71
№ 11

All Issues

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

Tsvetkov E. L.

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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 $Q_r \subset Q$. The conditions are considered under which the generalized solutions of the third boundary-value problem remain smooth on the boundaries of the neighboring subdomains $Q_r$.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 8, pp 1272-1284.

Citation Example: Tsvetkov E. L. Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation // Ukr. Mat. Zh. - 1993. - 45, № 8. - pp. 1140–1150.

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