On the analyticity of the semigroup generated by the Stokes operator with Neumann-type boundary conditions on Lipschitz subdomains of Riemannian manifolds
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- by Marius Mitrea and Sylvie Monniaux PDF
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Abstract:
We study the analyticity of the semigroup generated by the Stokes operator equipped with Neumann-type boundary conditions on $L^p$ spaces in Lipschitz domains. Our strategy is to regularize this operator by considering the Hodge Laplacian, which has the additional property that it commutes with the Leray projection.References
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Additional Information
- Marius Mitrea
- Affiliation: Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211
- MR Author ID: 341602
- ORCID: 0000-0002-5195-5953
- Email: marius@math.missouri.edu
- Sylvie Monniaux
- Affiliation: LATP - UMR 6632, Faculté des Sciences de Saint-Jérôme - Case Cour A, Université Aix-Marseille 3, F-13397 Marseille Cédex 20, France
- Email: sylvie.monniaux@univ.u-3mrs.fr
- Received by editor(s): June 25, 2007
- Published electronically: December 30, 2008
- Additional Notes: The first author was supported by the NSF grants DMS - 0400639 and DMS FRG - 0456306.
The second author was supported by a UMC Miller Scholarship grant. - © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 3125-3157
- MSC (2000): Primary 42B30, 46A16; Secondary 46E35, 35J25
- DOI: https://doi.org/10.1090/S0002-9947-08-04827-7
- MathSciNet review: 2485421