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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2014 Issue 3, Pages 13–15 (Mi uzeru66)

Mathematics

On solvability of pseudodifferential equations in spaces with quasihomogeneous norm

A. A. Davtyan, S. V. Ghazaryan

Yerevan State University

Abstract: In the article solvability questions for a class of pseudodifferential operators with quasihomogeneous nongenerate on the unit sphere symbol in spaces of anisotropic potentials or, in other words, spaces with quasihomogeneous norm are studied.

Keywords: pseudodifferential operators, anisotropic potentials, spaces with quasihomogeneous norm.

MSC: Primary 26A33; Secondary 35S10

Received: 16.07.2014
Accepted: 28.08.2014

Language: English



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