14 citations · 16 across the 6 of their papers we have counts for
12 papers
An inverse problem for a semi-linear wave equation: a numerical study
Matti Lassas, Tony Liimatainen, Leyter Potenciano-Machado +1
We consider an inverse problem of recovering a potential associated to a semi-linear wave equation with a quadratic nonlinearity in dimensions. We develop a numerical schem…
An inverse problem for the Riemannian minimal surface equation
Cătălin I. Cârstea, Matti Lassas, Tony Liimatainen +1
In this paper we consider determining a minimal surface embedded in a Riemannian manifold . We show that if is a two dimensional Riemannian manifold with bo…
Counterexamples to inverse problems for the wave equation
Tony Liimatainen, Lauri Oksanen
We construct counterexamples to inverse problems for the wave operator on domains in , , and on Lorentzian manifolds. We show that non-isometric Lorentzi…
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…
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…
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…