6533b826fe1ef96bd1284785
RESEARCH PRODUCT
Quantitative Runge Approximation and Inverse Problems
Angkana RülandMikko Salosubject
inverse problemsApproximation propertyGeneral Mathematics010102 general mathematicsDuality (optimization)Order (ring theory)Inverse problem16. Peace & justice01 natural sciencesStability (probability)inversio-ongelmatElliptic operatorContinuationMathematics - Analysis of PDEsModel applicationFOS: MathematicsApplied mathematics0101 mathematicsAnalysis of PDEs (math.AP)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-08-21 | International Mathematics Research Notices |