On the Stokes resolvent equations in locally uniform L^p spaces in exterior domains

Geissert, Matthias; Giga, Yoshikazu

Hokkaido University Preprint Series in Mathematics, 2007, 837, 1-8

Permalink : https://doi.org/10.14943/83987

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DOI	https://doi.org/10.14943/83987
URI	https://hdl.handle.net/2115/69646
タイトル	On the Stokes resolvent equations in locally uniform L^p spaces in exterior domains
著者	著者名 Geissert, Matthias
著者	著者名 Giga, Yoshikazu
言語	英語
発行日	2007
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	837
ページ	1-8
抄録	The Stokes resolvent equations are studied in locally uniform Lp 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 Lp spaces is that these spaces contain non-decaying functions.
資源タイプ	紀要論文
出版タイプ	Version of Record