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On the propagator of Schrödinger operators

Speaker: 
Kenji Yajima
Institution: 
Tokyo Gakushuin
Schedule: 
Thursday, October 13, 2016 - 16:15
Location: 
A-136
Abstract: 

We consider time dependent Schrödinger equations on R^N. After establishing the existence and uniqueness of the propagator when potentials are wildly singular both locally and globally with respect to spatial variables, we discuss some of its properties: smoothing properties, Strichartz inequalities and the smoothness/boundedness of its integral kernel.

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