Tuesday Seminar of Analysis

Seminar information archive ~06/23Next seminarFuture seminars 06/24~

Date, time & place Tuesday 16:00 - 17:30 156Room #156 (Graduate School of Math. Sci. Bldg.)
Organizer(s) ISHIGE Kazuhiro, SAKAI Hidetaka, ITO Kenichi

2016/01/05

16:50-18:20   Room #126 (Graduate School of Math. Sci. Bldg.)
Eric Skibsted (Aarhus University, Denmark)
Stationary scattering theory on manifolds (English)
[ Abstract ]
We present a stationary scattering theory for the Schrödinger operator on Riemannian manifolds with the structure of ends each of which is equipped with an escape function (for example a convex distance function). This includes manifolds with ends modeled as cone-like subsets of the Euclidean space and/or the hyperbolic space. Our results include Rellich’s theorem, the limiting absorption principle, radiation condition bounds, the Sommerfeld uniqueness result, and we give complete characterization/asymptotics of the generalized eigenfunctions in a certain Besov space and show asymptotic completeness (with K. Ito).