On Runge approximation and Lipschitz stability for a finite-dimensional Schrödinger inverse problem
In this note we reprove the Lipschitz stability for the inverse problem for the Schr\"odinger operator with finite-dimensional potentials by using quantitative Runge approximation results. This provides a quantification of the Schr\"odinger version of the argument from Kohn and Vogelius in...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
21 Feb 2020
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| In: |
Arxiv
Year: 2020, Pages: 1-12 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2002.09319
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| Author Notes: | Angkana Rüland and Eva Sincich |
| Summary: | In this note we reprove the Lipschitz stability for the inverse problem for the Schr\"odinger operator with finite-dimensional potentials by using quantitative Runge approximation results. This provides a quantification of the Schr\"odinger version of the argument from Kohn and Vogelius in Comm. Pure Appl. Math. (1985) and presents a slight variant of the strategy considered by Alessandrini, de Hoop, Gaburro and Sincich in Asymptotic Analysis (2018) which may prove useful also in the context of more general operators. |
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| Item Description: | Gesehen am 12.05.2021 |
| Physical Description: | Online Resource |