2017
Том 69
№ 9

All Issues

Improved scales of spaces and elliptic boundary-value problems. III

Mikhailets V. A., Murach A. A.

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Abstract

We study elliptic boundary-value problems in improved scales of functional Hilbert spaces on smooth manifolds with boundary. The isotropic Hörmander-Volevich-Paneyakh spaces are elements of these scales. The local smoothness of a solution of an elliptic problem in an improved scale is investigated. We establish a sufficient condition under which this solution is classical. Elliptic boundary-value problems with parameter are also studied.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 5, pp 744-765.

Citation Example: Mikhailets V. A., Murach A. A. Improved scales of spaces and elliptic boundary-value problems. III // Ukr. Mat. Zh. - 2007. - 59, № 5. - pp. 679–701.

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