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Exponential instability in the Gel'fand inverse problem on the energy intervals
Exponential instability Gel'fand inverse problem energy intervals
2011/1/20
We consider the Gel’fand inverse problem and continue studies of [Mandache,2001].We show that the Mandache-type instability remains valid even in the case of Dirichletto-Neumann map given on the energ...
Exponential instability in the inverse scattering problem on the energy interval
Exponential instability inverse energy interval
2011/2/28
We consider the inverse scattering problem on the energy interval in three dimensions.We are focused on stability and instability questions for this problem. In particular,we prove an exponential inst...