Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems
- Authors: Anikonov Y.E.1,2, Ayupova N.B.1,2
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Issue: Vol 231, No 2 (2018)
- Pages: 111-123
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241098
- DOI: https://doi.org/10.1007/s10958-018-3809-x
- ID: 241098
Cite item
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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