Tuesday Seminar of Analysis

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Date, time & place Tuesday 16:00 - 17:30 Room # (Graduate School of Math. Sci. Bldg.)
Organizer(s) Kazuhiro Ishige, Yasuhito Miyamoto, Neal Bez, Hidetaka Sakai, Ryo Takada

2007/12/25

16:30-18:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Gregory Eskin (UCLA)
Inverse boundary value problems for the Schrodinger equation with time-dependent electromagnetic potentials and the Aharonov-Bohm effect
[ Abstract ]
We consider the determination of the time-dependent magnetic and electric potentials (modulo gauge transforamtions) by the boundary measurements in domains with obstacles. We use the geometric optics and the tomography of broken rays. The presence of the obstacles leads to the Aharonov-Bohm effect caused by the magnetic and electric fluxes.