4 papers
Determination of an anisotropic perturbation in elastic inverse scattering
Matti Lassas, Shiqi Ma, Lauri Oksanen +2
We consider a linearized inverse scattering problem for elastic waves. We prove that a fully anisotropic perturbation of the elastic parameters around an isotropic and homogeneous…
On Exponential Instability of an Inverse Problem for the Wave Equation
Leonard Busch, Matti Lassas, Lauri Oksanen +1
For a time-independent potential , consider the source-to-solution operator that maps a source to the solution of in Euclidean space wit…
Rigidity in fixed angle inverse scattering for Riemannian metrics
Lauri Oksanen, Rakesh, Mikko Salo
The fixed angle inverse scattering problem for a velocity consists in determining a sound speed, or a Riemannian metric up to diffeomorphism, from measurements obtained by probing…
Rigidity in the Lorentzian Calderón problem with formally determined data
Lauri Oksanen, Rakesh, Mikko Salo
We study the Lorentzian Calderón problem, where the objective is to determine a globally hyperbolic Lorentzian metric up to a boundary fixing diffeomorphism from boundary measureme…