Differential and Integral Equations

Sharp $L^\infty$-estimates for the $2$D-Stokes operator

Fabrice Bethuel and Jean-Michel Ghidaglia

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Abstract

We prove that the inverse of the Stokes operator in two dimensions, maps the Hardy space $\mathcal {H}^1$ into $L^\infty$.

Article information

Source
Differential Integral Equations, Volume 9, Number 1 (1996), 1-9.

Dates
First available in Project Euclid: 7 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367969984

Mathematical Reviews number (MathSciNet)
MR1364030

Zentralblatt MATH identifier
0839.35098

Subjects
Primary: 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10]
Secondary: 35J65: Nonlinear boundary value problems for linear elliptic equations 76D07: Stokes and related (Oseen, etc.) flows

Citation

Bethuel, Fabrice; Ghidaglia, Jean-Michel. Sharp $L^\infty$-estimates for the $2$D-Stokes operator. Differential Integral Equations 9 (1996), no. 1, 1--9. https://projecteuclid.org/euclid.die/1367969984


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