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.
- L — L estimates
- Stokes semigroup
- boundary value problem in a two dimensional exterior domain
- local energy decay
- low frequency asymptotic behavior
ASJC Scopus subject areas
- General Mathematics