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Quantitative Runge Approximation and Inverse Problems
Angkana Rüland, Mikko Salo
Source 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.
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