Wave Seminar

2012-2-16 14:00 - 2012-2-16 16:15
Faculty of Science Buliding #3 Room 204
Jin-Cheng Jiang (Taiwan National Tsing Hua University), Dong-Ho Tsai (Taiwan National Tsing Hua University)
Jin-Cheng Jiang (Taiwan National Tsing Hua University)
The linear profile decomposition for the fourth order Schrodinger equation
Dong-Ho Tsai (Taiwan National Tsing Hua University)
Remarks on some isoperimetric properties of the k-1 flow

(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.