## Journal of the Mathematical Society of Japan

- J. Math. Soc. Japan
- Volume 55, Number 2 (2003), 469-497.

### On a resolvent estimate of the Stokes equation on an infinite layer

Takayuki ABE and Yoshihiro SHIBATA

#### Abstract

This paper is concerned with the standard ${L}_{p}$ estimate of solutions to the resolvent problem for the Stokes operator on an infinite layer.

#### Article information

**Source**

J. Math. Soc. Japan, Volume 55, Number 2 (2003), 469-497.

**Dates**

First available in Project Euclid: 3 October 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.jmsj/1191419127

**Digital Object Identifier**

doi:10.2969/jmsj/1191419127

**Mathematical Reviews number (MathSciNet)**

MR1961297

**Zentralblatt MATH identifier**

1048.35052

**Subjects**

Primary: 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 76D07: Stokes and related (Oseen, etc.) flows

**Keywords**

Stokes equation infinite layer resolvent problem

#### Citation

ABE, Takayuki; SHIBATA, Yoshihiro. On a resolvent estimate of the Stokes equation on an infinite layer. J. Math. Soc. Japan 55 (2003), no. 2, 469--497. doi:10.2969/jmsj/1191419127. https://projecteuclid.org/euclid.jmsj/1191419127