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.
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© 2007 Birkhäuser Verlag Basel/Switzerland
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Geissert, M., Giga, Y. (2007). On the Stokes Resolvent Equations in Locally Uniform L p Spaces in Exterior Domains. In: Amann, H., Arendt, W., Hieber, M., Neubrander, F.M., Nicaise, S., von Below, J. (eds) Functional Analysis and Evolution Equations. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7794-6_20
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DOI: https://doi.org/10.1007/978-3-7643-7794-6_20
Publisher Name: Birkhäuser Basel
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