159 citations · 1.1k across the 67 of their papers we have counts for
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The linearized Calderon problem in transversally anisotropic geometries
David Dos Santos Ferreira, Yaroslav Kurylev, Matti Lassas +2
In this article we study the linearized anisotropic Calderon problem. In a compact manifold with boundary, this problem amounts to showing that products of harmonic functions form…
Exponential instability in the fractional Calderón problem
Angkana Rüland, Mikko Salo
In this note we prove the exponential instability of the fractional Calderón problem and thus prove the optimality of the logarithmic stability estimate from \cite{RS17}. In order…
The fractional Calderón problem
Mikko Salo
We review recent progress in the fractional Calderón problem, where one tries to determine an unknown coefficient in a fractional Schrödinger equation from exterior measurements of…
Monotonicity and local uniqueness for the Helmholtz equation
Bastian Harrach, Valter Pohjola, Mikko Salo
This work extends monotonicity-based methods in inverse problems to the case of the Helmholtz (or stationary Schrödinger) equation in a bounded domain for fixed…
Quantitative Runge Approximation and Inverse Problems
Angkana Rüland, Mikko Salo
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 continuat…
Quantitative Approximation Properties for the Fractional Heat Equation
Angkana Rüland, Mikko Salo
In this note we analyse \emph{quantitative} approximation properties of a certain class of \emph{nonlocal} equations: Viewing the fractional heat equation as a model problem, which…