Increasing stability for the inverse problem of the Schrodinger equation with the partial Cauchy data
Liang, Li
Liang, Li
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2015-05
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Article
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Keywords
Inverse problems,Schrodinger equation,Increasing stability,Partial data,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
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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American Institute of Mathematical Sciences
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Inverse Problems and Imaging
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1930-8337