Seminars｜Fostering top leaders in mathematics -- broadening the core and exploring new ground

Seminar

Language	English
From	2013/02/01 15:30
To	2013/02/01 17:30
Place	Room 251, Building No.3, Faculty of Science, Kyoto University
Seminar Name	NLPDE Seminar
Title	The $L^{\infty}$ -Stokes semigroup in exterior domains
Field	Analysis
Speakers	阿部健
Affiliation	東京大学
Abstract	Analyticity of the Stokes semigroup is well understood on $L^{p}$ space for various kinds of domains including bounded and exterior domains with smooth boundaries. The situation is different for the case $p=\infty$ since the Helmholtz projection is not bounded on $L^{\infty}$ anymore. In this talk, we give an a priori $L^{\infty}$ -estimate of the Stokes flow by a blow-up argument for the analyticity of the semigroup on $L^{\infty}$ . This talk is based on a joint work with Professor Yoshikazu Giga.
Link	http://www.math.kyoto-u.ac.jp/~n-kishi/nlpde/