Quantitative Runge Approximation and Inverse Problems
arXiv:1708.06307
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 \cite{F07}, \cite{AK12} on stability for the Calderón problem with local data.
12 pages