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math.AP2024
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…
math.AP2024
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…
math.AP2024
Inverse problems for semilinear Schrödinger equations at large frequency via polynomial resolvent estimates on manifolds
Katya Krupchyk, Shiqi Ma, Suman Kumar Sahoo +2
We study inverse boundary problems for semilinear Schrödinger equations on smooth compact Riemannian manifolds of dimensions with smooth boundary, at a large fixed frequenc…