Remark on the L-q-L-infinity estimate of the Stokes semigroup in a 2-dimensional exterior domain

Authors
Dan, W Shibata, Y
Citation
W. Dan et Y. Shibata, Remark on the L-q-L-infinity estimate of the Stokes semigroup in a 2-dimensional exterior domain, PAC J MATH, 189(2), 1999, pp. 223-239
Citations number
25
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
189
Issue
2
Year of publication
1999
Pages
223 - 239
Database
ISI
SICI code
0030-8730(199906)189:2<223:ROTLEO>2.0.ZU;2-I
Abstract
We proved L-q - L-infinity type estimates of the Stokes semigroup in a 2-di mensional exterior domain. Our proof is based on the investigation of the a symptotic behavior of the resolvent of the Stokes operator near the origin.