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...
Enregistré dans:
| Auteurs principaux: | , , |
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| Format: | Article (Journal) Chapter/Article |
| Langue: | anglais |
| Publié: |
11 Jan 2021
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| In: |
Arxiv
Year: 2021, Pages: 1-28 |
| Accès en ligne: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2101.04089
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| Notes sur l'auteur: | María Ángeles García-Ferrero, Angkana Rüland, and Wiktoria Zatoń |
| Résumé: | 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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| Description: | Gesehen am 27.05.2021 |
| Description matérielle: | Online Resource |