Remark on the Lq− L∞estimate of the Stokes semigroup in a 2-dimensional exterior domain
Wakako Dan, Yoshihiro Shibata · Pacific Journal of Mathematics · 1999
We proved L q -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.