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Inverse scattering for Schrödinger operators with steplike periodic background and applications to the initial value problem for the Korteweg-de Vries equation

What Mathematisches Kolloquium
When 2008-04-02
from 16:30 to 17:30
Where C209
Contact Name Rindler
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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.

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