Quantitative Runge approximation and inverse problems
In this short note, we provide a quantitative version of the classical Runge approximation property for second-order elliptic operators. This relies on quantitative unique continuation results and duality arguments. We show that these estimates are essentially optimal. As a model application, we pro...
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2019
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| In: |
International mathematics research notices
Year: 2018, Heft: 20, Pages: 6216-6234 |
| ISSN: | 1687-0247 |
| DOI: | 10.1093/imrn/rnx301 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1093/imrn/rnx301
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| Verfasserangaben: | Angkana Rüland and Mikko Salo |
| Zusammenfassung: | In this short note, we provide a quantitative version of the classical Runge approximation property for second-order elliptic operators. This relies on quantitative unique continuation results and duality arguments. We show that these estimates are essentially optimal. As a model application, we provide a new proof of the result from [8], [2] on stability for the Calderón problem with local data. |
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| Beschreibung: | Published: 19 January 2018 Gesehen am 26.05.2021 |
| Beschreibung: | Online Resource |
| ISSN: | 1687-0247 |
| DOI: | 10.1093/imrn/rnx301 |