波動セミナー

開催日時
2012年   2月 16日 14時 00分 ~ 2012年   2月 16日 16時 15分
場所
北大理学部3号館204室
講演者
Jin-Cheng Jiang (台湾国立清華大学)、Dong-Ho Tsai (台湾国立清華大学)
 
プログラム:
14:00--15:00
Jin-Cheng Jiang (台湾国立清華大学)
The linear profile decomposition for the fourth order Schrodinger equation
15:15--16:15
Dong-Ho Tsai (台湾国立清華大学)
Remarks on some isoperimetric properties of the k-1 flow

アブストラクト:
(Jin-Cheng Jiang)
We establish the linear profile decomposition for the one dimensional
fourth order Schrodinger equation. As an application, we establish a dichotomy
result on the existence of extremals to the symmetric Schrodinger Strichartz inequality.
This is a joint work with Benoit Pausader and Shuanglin Shao.

(Dong-Ho Tsai)
We consider the evolution of a convex closed plane curve along its inward
normal direction with speed k-1, where k is the curvature. This flow has the
feature that it is the gradient flow of the (length-area) functional and has been
previously studied by Chou-Zhu and Yagisita. Here we revisit the flow again
and point out some interesting isoperimetric properties not discussed before.

関連項目

研究集会・セミナー・集中講義の一覧へ