ON ANALYTICITY OF THE $L^p$-STOKES SEMIGROUP FOR SOME NON-HELMHOLTZ DOMAINS


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84226

Title:	ON ANALYTICITY OF THE $L^p$-STOKES SEMIGROUP FOR SOME NON-HELMHOLTZ DOMAINS
Authors:	BOLKART, MARTIN Browse this author
	GIGA, YOSHIKAZU Browse this author
	MIURA, TATSU-HIKO Browse this author
	Suzuki, Takuya Browse this author
	TSUTSUI, YOHEI Browse this author
Issue Date:	27-Nov-2015
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	1082
Start Page:	1
End Page:	25
Abstract:	Consider the Stokes equations in a sector-like C3 domain Ω R2. It is shown that the Stokes operator generates an analytic semigroup in Lp (Ω) for p 2 [2;1). This includes domains where the Lp-Helmholtz decomposition fails to hold. To show our result we interpolate results of the Stokes semigroup in VMO and L2 by constructing a suitable non-Helmholtz projection to solenoidal spaces.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69886
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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