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ISSN 1088-6850(e) ISSN 0002-9947(p)

On the analyticity of the semigroup generated by the Stokes operator with Neumann-type boundary conditions on Lipschitz subdomains of Riemannian manifolds

Author(s): Marius Mitrea; Sylvie Monniaux
Journal: Trans. Amer. Math. Soc. 361 (2009), 3125-3157.
MSC (2000): Primary 42B30, 46A16; Secondary 46E35, 35J25
Posted: December 30, 2008
MathSciNet review: 2485421
Retrieve article in: 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 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.

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