159 citations · 1.1k across the 67 of their papers we have counts for
7 papers · 2 filters
Inverse problems for elliptic equations with fractional power type nonlinearities
Tony Liimatainen, Yi-Hsuan Lin, Mikko Salo +1
We study inverse problems for semilinear elliptic equations with fractional power type nonlinearities. Our arguments are based on the higher order linearization method, which helps…
On instability mechanisms for inverse problems
Herbert Koch, Angkana Rüland, Mikko Salo
In this article we present three robust instability mechanisms for linear and nonlinear inverse problems. All of these are based on strong compression properties (in the sense of s…
The fixed angle scattering problem with a first order perturbation
Cristóbal J. Meroño, Leyter Potenciano-Machado, Mikko Salo
We study the inverse scattering problem of determining a magnetic field and electric potential from scattering measurements corresponding to finitely many plane waves. The main res…
Linearized Calderón problem and exponentially accurate quasimodes for analytic manifolds
Katya Krupchyk, Tony Liimatainen, Mikko Salo
In this article we study the linearized anisotropic Calderón problem on a compact Riemannian manifold with boundary. This problem amounts to showing that products of pairs of harmo…
Fixed angle inverse scattering in the presence of a Riemannian metric
Shiqi Ma, Mikko Salo
We consider a fixed angle inverse scattering problem in the presence of a known Riemannian metric. First, assuming a no caustics condition, we study the direct problem by utilizing…
Inverse problems for real principal type operators
Lauri Oksanen, Mikko Salo, Plamen Stefanov +1
We consider inverse boundary value problems for general real principal type differential operators. The first results state that the Cauchy data set uniquely determines the scatter…