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Tuesday Seminar of Analysis
Seminar information archive ～11/24｜Next seminar｜Future seminars 11/25～
| Date, time & place | Tuesday 16:00 - 17:30 Room # (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | ISHIGE Kazuhiro, MIYAMOTO Yasuhito, SAKAI Hidetaka, MITAKE Hiroyoshi, TAKADA Ryo |
2014/05/27
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Yoichi Miyazaki (NIHON UNIVERSITY, SCHOOL OF DENTISTRY)
The regularity theorem for elliptic equations and the smoothness of domains (JAPANESE)
Yoichi Miyazaki (NIHON UNIVERSITY, SCHOOL OF DENTISTRY)
The regularity theorem for elliptic equations and the smoothness of domains (JAPANESE)
[ Abstract ]
We consider the Dirichlet boundary problem for a strongly elliptic operator of order $2m$ with non-smooth coefficients, and prove the regularity theorem for $L_p$-based Sobolev spaces when the domain has a boundary of limited smoothness. Compared to the known results, we can weaken the smoothness assumption on the boundary by $m-1$.
We consider the Dirichlet boundary problem for a strongly elliptic operator of order $2m$ with non-smooth coefficients, and prove the regularity theorem for $L_p$-based Sobolev spaces when the domain has a boundary of limited smoothness. Compared to the known results, we can weaken the smoothness assumption on the boundary by $m-1$.
