On a Class of Weakly Hyperbolic Operators


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Abstract

The paper considers Cauchy problem in the Gevre type multianisotropic spaces. Necessary and sufficient conditions for unique solvability of this problem are obtained and the properties of operators (polynomials) that are hyperbolic with a specified weight are investigated.

About the authors

V. N. Margaryan

Russian-Armenian (Slavonic) University

Author for correspondence.
Email: vachagan.margaryan@yahoo.com
Armenia, Yerevan

H. G. Ghazaryan

Russian-Armenian (Slavonic) University; Institute of Mathematics of NAS RA

Email: vachagan.margaryan@yahoo.com
Armenia, Yerevan; Yerevan


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