Quantitative Runge Approximation and Inverse Problems
Analysis of PDEs
2017-08-22 v1
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 Calder\'on problem with local data.
Keywords
Cite
@article{arxiv.1708.06307,
title = {Quantitative Runge Approximation and Inverse Problems},
author = {Angkana Rüland and Mikko Salo},
journal= {arXiv preprint arXiv:1708.06307},
year = {2017}
}
Comments
12 pages