Increasing stability for the inverse problem of the Schrodinger equation with the partial Cauchy data

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Authors
Liang, Li
Issue Date
2015-05
Type
Article
Language
en_US
Keywords
Inverse problems , Schrodinger equation , Increasing stability , Partial data , Reflection
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Abstract

To show increasing stability in the problem of recovering potential c is an element of C-1 (Omega) in the Schrodinger equation with the given partial Cauchy data when energy frequency k is growing, we will obtain some bounds for c which can be viewed as an evidence of such phenomenon. The proof uses almost exponential solutions and methods of reflection.

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Citation
Liang, Li. 2015. Increasing stability for the inverse problem of the Schrodinger equation with the partial Cauchy data. Inverse Problems and Imaging (IPI), vol.:9:no. 2:pp 469-478
Publisher
American Institute of Mathematical Sciences
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ISSN
1930-8337
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