Applied Analysis

Seminar information archive ~03/28Next seminarFuture seminars 03/29~

Date, time & place Thursday 16:00 - 17:30 002Room #002 (Graduate School of Math. Sci. Bldg.)

2011/06/09

16:30-18:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Kiyoshi Mochizuki (Tokyo Metropolitan University, Emeritus Professor)
Spectral representations and scattering for Schr\\"odinger operators on star graphs (JAPANESE)
[ Abstract ]
We consider Schr\\"odinger operators defined on star graphs with Kirchhoff boundary conditions. Under suitable decay conditions on the potential, we construct a complete set of eigenfunctions to obtain spectral representations of the operator. The results are applied to give a time dependent formulation of the scattering theory. Also we use the spectral representation to determine an integral equation of Marchenko which is fundamental to enter into the inverse scattering problems.