Quantitative Runge Approximation and Inverse Problems. (19th January 2018)

• Record Type: Journal Article
• Authors: Rüland, Angkana; Salo, Mikko
• Is Part Of: International mathematics research notices. Volume 2019:Number 20(2019)
• Page Start: 6216
• Page End: 6234
• Publication Date: 2018-01-19
• Subjects: Mathematics -- Periodicals; 510
• DOI: 10.1093/imrn/rnx301
• Languages: English
• ISSNs: 1073-7928

Abstract

Abstract: 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.