On the Lq - Lr estimates of the Stokes semigroup in a two dimensional exterior domain

Abstract

We proved Lq - Lr type estimates of the Stokes semigroup in a two dimensional exterior domain. Our proof is based on the local energy decay estimate obtained by investigation of the asymptotic behavior of the resolvent of the Stokes operator near the origin. © 1999, The Mathematical Society of Japan. All rights reserved.