Inverse scattering for Schrödinger operators with steplike periodic background and applications to the initial value problem for the Korteweg-de Vries equation
from 16:30 to 17:30
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Prof. Gerald Teschl (Universität Wien)
Abstract: We completely solve the inverse scattering problem for one-dimensional Schrödinger operators with steplike potentials which are asymptotically close to different periodic potentials on different hals-axes. In addition, this allows us to solve the initial value problem for the Korteweg-de Vries equation with initial data in this class.
This is based on joint work with Anne Boutet de Monvel (Paris 7) and Iryna Egorova (Institute for Low Temperature Physics, UA).
Anschließend Buffet im Common Room.