arXiv:1302.0940 Abstract | arXiv Analytics

arXiv:1302.0940 [math.AP]Abstract References Reviews Resources

Increasing stability of the inverse boundary value problem for the Schrödinger equation

V Isakov, S Nagayasu, G Uhlmann, J-N Wang

Published 2013-02-05Version 1

In this work we study the phenomenon of increasing stability in the inverse boundary value problem for the Schr\"odinger equation. This problem was previously considered by Isakov in which he discussed the phenomenon in different ranges of the wave number (or energy). The main contribution of this work is to provide a unified and easier approach to the same problem based on the complex geometrical optics solutions.

Categories: math.AP

Subjects: 35R30, 65N21

Keywords: inverse boundary value problem, increasing stability, schrödinger equation, complex geometrical optics solutions, phenomenon

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