# The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations

## Abstract

We study sufficient conditions on lower-order coefficients of a nondivergence-form parabolic equation that guarantee the power rate of the uniform stabilization of the solution to the Cauchy problem on every compact set K of R{sup N} for any bounded initial function.

- Authors:

- Lomonosov Moscow State University (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22773999

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 232; Journal Issue: 3; 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; CAUCHY PROBLEM; EQUATIONS; MATHEMATICAL SOLUTIONS; STABILIZATION

### Citation Formats

```
Denisov, V. N., E-mail: vdenisov2008@yandex.ru.
```*The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3876-Z.

```
Denisov, V. N., E-mail: vdenisov2008@yandex.ru.
```*The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations*. United States. doi:10.1007/S10958-018-3876-Z.

```
Denisov, V. N., E-mail: vdenisov2008@yandex.ru. Sun .
"The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations". United States. doi:10.1007/S10958-018-3876-Z.
```

```
@article{osti_22773999,
```

title = {The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations},

author = {Denisov, V. N., E-mail: vdenisov2008@yandex.ru},

abstractNote = {We study sufficient conditions on lower-order coefficients of a nondivergence-form parabolic equation that guarantee the power rate of the uniform stabilization of the solution to the Cauchy problem on every compact set K of R{sup N} for any bounded initial function.},

doi = {10.1007/S10958-018-3876-Z},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 3,

volume = 232,

place = {United States},

year = {2018},

month = {7}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.