Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems


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Abstract

We develop a new method for studying inverse problems of mathematical physics by using systems of equations of ray expansion of solutions to parabolic and hyperbolic equations with variable coefficients.

About the authors

Yu. E. Anikonov

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

Author for correspondence.
Email: anikon@math.nsc.ru
Russian Federation, 4, Akad. Koptyuga pr., Novosibirsk, 630090; 1, Pirogova St., Novosibirsk, 630090

N. B. Ayupova

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

Email: anikon@math.nsc.ru
Russian Federation, 4, Akad. Koptyuga pr., Novosibirsk, 630090; 1, Pirogova St., Novosibirsk, 630090

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