- Acta Math.
- Volume 211, Number 1 (2013), 1-46.
Analyticity of the Stokes semigroup in spaces of bounded functions
The analyticity of the Stokes semigroup with the Dirichlet boundary condition is established in spaces of bounded functions when the domain occupied with fluid is bounded or more generally admissible which admits a special estimate for the Helmholtz decomposition. The proof is based on a blow-up argument. This is the first proof of the analyticity in spaces of bounded functions which was left open more than thirty years.
Acta Math., Volume 211, Number 1 (2013), 1-46.
Received: 6 July 2011
Revised: 24 October 2012
First available in Project Euclid: 31 January 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
2013 © Institut Mittag-Leffler
Abe, Ken; Giga, Yoshikazu. Analyticity of the Stokes semigroup in spaces of bounded functions. Acta Math. 211 (2013), no. 1, 1--46. doi:10.1007/s11511-013-0098-6. https://projecteuclid.org/euclid.acta/1485892722