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MaPhySto
The Danish National Research Foundation:
Network in Mathematical Physics and Stochastics



Funded by The Danish National Research Foundation
Analysis Seminar
Thursday, 28 October 2004, at 16:15 in D3
Evgeni Korotyaev
Humboldt-Universität zu Berlin
Stability for inverse resonance problem

Abstract
For the Schrödinger operator on the half line with real compactly supported potential we show that: Assume that we perturb a sequence of resonances and eigenvalues by a sequence from some Hilbert space. Then the new sequence is the sequence of zeroes of the Jost function for some unique real compactly supported potential, i.e. it is a sequence of resonances and eigenvalues for this new potential. Moreover, we show that the measure associated with the zeros of the Jost function is a Carleson measure. Using this fact we obtain a priori estimates of resonances in terms of the Jost function. This result will be published in Int. Math. Res. Notice.

Contact person:Erik Skibsted.