Increasing stability for the inverse problem of the Schrodinger equation with the partial Cauchy data
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Authors
Liang, Li
Advisors
Issue Date
2015-05
Type
Article
Keywords
Inverse problems , Schrodinger equation , Increasing stability , Partial data , Reflection
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.
Table of Contents
Description
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Publisher
American Institute of Mathematical Sciences
Journal
Book Title
Series
Inverse Problems and Imaging (IPI);v.9:no.2
PubMed ID
DOI
ISSN
1930-8337