# Linear Inverse Problems for Ultraparabolic Equations: The Case of Unknown Coefficient of Spatial Type

## Abstract

We study the solvability of linear inverse problems for ultraparabolic equations with an unknown coefficient depending only on the spatial variables. The feature of such problems is special overdetermination conditions. We use the method based on reducing the inverse problem to a nonlocal boundary-value problem for ultraparabolic equations.

- Authors:

- Sobolev Institute of Mathematics SB RAS (Russian Federation)
- Sakhalin State University (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771403

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 230; Journal Issue: 1; 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; BOUNDARY-VALUE PROBLEMS; EQUATIONS; PARABOLAS

### Citation Formats

```
Kozhanov, A. I., E-mail: kozhanov@math.nsc.ru, and Kosheleva, Yu. A., E-mail: ynuta@mail.ru.
```*Linear Inverse Problems for Ultraparabolic Equations: The Case of Unknown Coefficient of Spatial Type*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3728-X.

```
Kozhanov, A. I., E-mail: kozhanov@math.nsc.ru, & Kosheleva, Yu. A., E-mail: ynuta@mail.ru.
```*Linear Inverse Problems for Ultraparabolic Equations: The Case of Unknown Coefficient of Spatial Type*. United States. doi:10.1007/S10958-018-3728-X.

```
Kozhanov, A. I., E-mail: kozhanov@math.nsc.ru, and Kosheleva, Yu. A., E-mail: ynuta@mail.ru. Sun .
"Linear Inverse Problems for Ultraparabolic Equations: The Case of Unknown Coefficient of Spatial Type". United States. doi:10.1007/S10958-018-3728-X.
```

```
@article{osti_22771403,
```

title = {Linear Inverse Problems for Ultraparabolic Equations: The Case of Unknown Coefficient of Spatial Type},

author = {Kozhanov, A. I., E-mail: kozhanov@math.nsc.ru and Kosheleva, Yu. A., E-mail: ynuta@mail.ru},

abstractNote = {We study the solvability of linear inverse problems for ultraparabolic equations with an unknown coefficient depending only on the spatial variables. The feature of such problems is special overdetermination conditions. We use the method based on reducing the inverse problem to a nonlocal boundary-value problem for ultraparabolic equations.},

doi = {10.1007/S10958-018-3728-X},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 1,

volume = 230,

place = {United States},

year = {2018},

month = {4}

}

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