On the L-q-L-r estimates of the Stokes semigroup in a two dimensional exterior domain

Authors
Dan, W Shibata, Y
Citation
W. Dan et Y. Shibata, On the L-q-L-r estimates of the Stokes semigroup in a two dimensional exterior domain, J MATH JPN, 51(1), 1999, pp. 181-207
Citations number
40
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
ISSN journal
00255645 → ACNP
Volume
51
Issue
1
Year of publication
1999
Pages
181 - 207
Database
ISI
SICI code
0025-5645(199901)51:1<181:OTLEOT>2.0.ZU;2-M
Abstract
We proved L-q - L-r type estimates of the Stokes semigroup in a two dimensi onal exterior domain. Our proof is based on the local energy decay estimate obtained by investigation of the asymptotic behavior of the resolvent of t he Stokes operator near the origin.