On the L_q - L_r estimates of the Stokes semigroup in a two dimensional exterior domain
Access this Article
Search this Article
We proved L<SUB>q</SUB>-L<SUB>r</SUB> 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.
- Tokyo Sugaku Kaisya Zasshi
Tokyo Sugaku Kaisya Zasshi 51(1), 181-207, 1999-01
The Mathematical Society of Japan