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

## 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.

- Authors:

- Sobolev Institute of Mathematics SB RAS (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771216

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 231; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS

### Citation Formats

```
Anikonov, Yu. E., E-mail: anikon@math.nsc.ru, and Ayupova, N. B., E-mail: ayupova@math.nsc.ru.
```*Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3809-X.

```
Anikonov, Yu. E., E-mail: anikon@math.nsc.ru, & Ayupova, N. B., E-mail: ayupova@math.nsc.ru.
```*Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems*. United States. doi:10.1007/S10958-018-3809-X.

```
Anikonov, Yu. E., E-mail: anikon@math.nsc.ru, and Ayupova, N. B., E-mail: ayupova@math.nsc.ru. Tue .
"Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems". United States. doi:10.1007/S10958-018-3809-X.
```

```
@article{osti_22771216,
```

title = {Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems},

author = {Anikonov, Yu. E., E-mail: anikon@math.nsc.ru and Ayupova, N. B., E-mail: ayupova@math.nsc.ru},

abstractNote = {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.},

doi = {10.1007/S10958-018-3809-X},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 2,

volume = 231,

place = {United States},

year = {2018},

month = {5}

}

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