Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation
In this article, we discuss quantitative Runge approximation properties for the acoustic Helmholtz equation and prove stability improvement results in the high frequency limit for an associated partial data inverse problem modelled on \cite{AU04, KU19}. The results rely on quantitative unique contin...
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| Main Authors: | , , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
11 Jan 2021
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| In: |
Arxiv
Year: 2021, Pages: 1-28 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2101.04089
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| Author Notes: | María Ángeles García-Ferrero, Angkana Rüland, and Wiktoria Zatoń |
| Summary: | In this article, we discuss quantitative Runge approximation properties for the acoustic Helmholtz equation and prove stability improvement results in the high frequency limit for an associated partial data inverse problem modelled on \cite{AU04, KU19}. The results rely on quantitative unique continuation estimates in suitable function spaces with explicit frequency dependence. We contrast the frequency dependence of interior Runge approximation results from non-convex and convex sets. |
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| Item Description: | Gesehen am 27.05.2021 |
| Physical Description: | Online Resource |