# Solution of Boundary Value Problems in Cylinders with Two-Layer Film Inclusions

## Abstract

We consider the class of boundary value problems for elliptic, parabolic, and hyperbolic equations in cylinders separated by a two-layer film into two half-cylinders. We prove the existence and uniqueness theorem and express the solutions in terms of solutions to analogous classical problems in cylinders without films.

- Authors:

- Transbaikal State University (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771405

- 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; CYLINDERS; EQUATIONS; HYPERBOLIC CONFIGURATION; INCLUSIONS; LAYERS; MATHEMATICAL SOLUTIONS

### Citation Formats

```
Kholodovskii, S. E., E-mail: hol47@yandex.ru.
```*Solution of Boundary Value Problems in Cylinders with Two-Layer Film Inclusions*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3726-Z.

```
Kholodovskii, S. E., E-mail: hol47@yandex.ru.
```*Solution of Boundary Value Problems in Cylinders with Two-Layer Film Inclusions*. United States. doi:10.1007/S10958-018-3726-Z.

```
Kholodovskii, S. E., E-mail: hol47@yandex.ru. Sun .
"Solution of Boundary Value Problems in Cylinders with Two-Layer Film Inclusions". United States. doi:10.1007/S10958-018-3726-Z.
```

```
@article{osti_22771405,
```

title = {Solution of Boundary Value Problems in Cylinders with Two-Layer Film Inclusions},

author = {Kholodovskii, S. E., E-mail: hol47@yandex.ru},

abstractNote = {We consider the class of boundary value problems for elliptic, parabolic, and hyperbolic equations in cylinders separated by a two-layer film into two half-cylinders. We prove the existence and uniqueness theorem and express the solutions in terms of solutions to analogous classical problems in cylinders without films.},

doi = {10.1007/S10958-018-3726-Z},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 1,

volume = 230,

place = {United States},

year = {2018},

month = {4}

}

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