2019
Том 71
№ 9

All Issues

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

Tsvetkov E. L.

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Abstract

Unlike the case of elliptic differential equations, generalized solutions of elliptic difference-differential equations may be not smooth in a domainQ but remain smooth only in certain subdomainsQ r Q Conditions are considered which are necessary and sufficient for generalized solutions of the third boundary-value problem to preserve smoothness on the boundary of adjacent subdomainsQ r .

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 1, pp 107-120.

Citation Example: Tsvetkov E. L. On regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation // Ukr. Mat. Zh. - 1995. - 47, № 1. - pp. 93–104.

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