THE L ∞-STOKES SEMIGROUP IN EXTERIOR DOMAINS


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84157

Title:	THE L ∞-STOKES SEMIGROUP IN EXTERIOR DOMAINS
Authors:	ABE, KEN Browse this author
Authors:	GIGA, YOSHIKAZU Browse this author
Issue Date:	29-Jun-2012
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	1011
Start Page:	1
End Page:	36
Abstract:	The Stokes semigroup is extended to an analytic semigroup in spaces of bounded functions in an exterior domain with C3 boundary. Some of these spaces include vector fields non-decaying at the space infinity. Moreover, uniform bounds by a sup-norm of initial velocity are established in finite time for second spacial derivatives of velocity and also for gradient of pressure to the Stokes equations.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69816
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

OAI-PMH ( junii2 , jpcoar_1.0 )

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