275 citations · 1.7k across the 132 of their papers we have counts for
5 papers · 2 filters
Inverse scattering problems for non-linear wave equations on Lorentzian manifolds
Spyros Alexakis, Hiroshi Isozaki, Matti Lassas +1
We show that an inverse scattering problem for a semilinear wave equation can be solved on a manifold having an asymptotically Minkowskian infinity, that is, scattering functionals…
CT scans without X-rays: parallel-beam imaging from nonlinear current flows
Melody Alsaker, Siiri Rautio, Fernando Moura +5
Parallel-beam X-ray computed tomography (CT) and electrical impedance tomography (EIT) are two imaging modalities which stem from completely different underlying physics, and for d…
An inverse problem for fractional random walks on finite graphs
Giovanni Covi, Matti Lassas
We study an inverse problem on a finite connected graph G = (X, E), on whose vertices a conductivity γ is defined. Our data consists in a sequence of partial observations of a frac…
Inverse Spectral Problems for Collapsing Manifolds II: Quantitative Stability of Reconstruction for Orbifolds
Matti Lassas, Jinpeng Lu, Takao Yamaguchi
We consider the inverse problem of determining the metric-measure structure of collapsing manifolds from local measurements of spectral data. In the part I of the paper, we proved…
On the lack of external response of a nonlinear medium in the second-harmonic generation process
Fioralba Cakoni, Narek Hovsepyan, Matti Lassas +1
This paper concerns the scattering problem for a nonlinear medium of compact support, , with second-harmonic generation. Such a medium, when probed with monochromatic light beam…