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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2019
|
| In: |
International mathematics research notices
Year: 2018, Issue: 20, Pages: 6216-6234 |
| ISSN: | 1687-0247 |
| DOI: | 10.1093/imrn/rnx301 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1093/imrn/rnx301
|
| Author Notes: | Angkana Rüland and Mikko Salo |
| Summary: | 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. |
|---|---|
| Item Description: | Published: 19 January 2018 Gesehen am 26.05.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1687-0247 |
| DOI: | 10.1093/imrn/rnx301 |