Analyticity of the Stokes semigroup in spaces of bounded functions View Full Text


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Article Info

DATE

2013-09

AUTHORS

Ken Abe, Yoshikazu Giga

ABSTRACT

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. More... »

PAGES

1-46

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    http://scigraph.springernature.com/pub.10.1007/s11511-013-0098-6

    DOI

    http://dx.doi.org/10.1007/s11511-013-0098-6

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    https://app.dimensions.ai/details/publication/pub.1016876203


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