Vol. 189, No. 2, 1999

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Remark on the Lq − L estimate of the Stokes semigroup in a 2-dimensional exterior domain

Wakako Dan and Yoshihiro Shibata

Vol. 189 (1999), No. 2, 223–239
Abstract

We proved Lq L type estimates of the Stokes semigroup in a 2-dimensional exterior domain. Our proof is based on the investigation of the asymptotic behavior of the resolvent of the Stokes operator near the origin.

Milestones
Received: 11 November 1997
Revised: 26 August 1998
Published: 1 June 1999
Authors
Wakako Dan
University of Tsukuba
Ibaraki 305-8571
Japan
Yoshihiro Shibata
Waseda University
Tokyo 169-8555
Japan