On the Stokes Resolvent Equations in Locally Uniform L p Spaces in Exterior Domains

Matthias Geissert () and Yoshikazu Giga ()
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Matthias Geissert: TU Darmstadt, FB Mathematik
Yoshikazu Giga: University of Tokyo, Graduate School of Mathematical Sciences

A chapter in Functional Analysis and Evolution Equations, 2007, pp 307-314 from Springer

Abstract: Abstract The Stokes resolvent equations are studied in locally uniform L p spaces where the domain is an exterior of a bounded domain. The unique existence of a solution of the Stokes resolvent equations is proved with a resolvent estimate. In particular, the analyticity of the Stokes semigroup is established. An interesting aspect of locally uniform L p spaces is that these spaces contain non-decaying functions.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7794-6_20

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DOI: 10.1007/978-3-7643-7794-6_20

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