275 citations · 1.7k across the 132 of their papers we have counts for
8 papers · 2 filters
Quantitative stability of Gel'fand's inverse boundary problem
Dmitri Burago, Sergei Ivanov, Matti Lassas +1
In Gel'fand's inverse problem, one aims to determine the topology, differential structure and Riemannian metric of a compact manifold with boundary from the knowledge of the bo…
Transformation Optics for the Modelling of Waves in a Universe with Nontrivial Topology
Tracey Balehowsky, Matti Lassas, Pekka Pankka +1
We consider how transformation optics and invisibility cloaking can be used to construct models in subsets with a varying metric, where the time-harmonic waves for a…
An Inverse Problem for the Relativistic Boltzmann Equation
Tracey Balehowsky, Antti Kujanpää, Matti Lassas +1
We consider an inverse problem for the Boltzmann equation on a globally hyperbolic Lorentzian spacetime with an unknown metric . We consider measurements done in a neigh…
Construction of artificial point sources for a linear wave equation in unknown medium
Anna Kirpichnikova, Jussi Korpela, Matti Lassas +1
We study the wave equation on a bounded domain of and on a compact Riemannian manifold with boundary. We assume that the coefficients of the wave equation are unk…
Uniqueness and stability of an inverse problem for a semi-linear wave equation
Matti Lassas, Tony Liimatainen, Leyter Potenciano-Machado +1
We consider the recovery of a potential associated with a semi-linear wave equation on , . We show a Hölder stability estimate for the recovery of an unk…
Inverse problems for non-linear hyperbolic equations with disjoint sources and receivers
Ali Feizmohammadi, Matti Lassas, Lauri Oksanen
The paper studies inverse problems of determining unknown coefficients in various semi-linear and quasi-linear wave equations. We introduce a method to solve inverse problems for n…