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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…
math.AP2024
Gaussian beams and inverse problems for connections at high fixed frequency
Simon St-Amant
We consider the inverse problem of recovering a connection on a complex vector bundle over a compact smooth Riemannian manifold with boundary from a Dirichlet-to-Neumann (DN) map a…
math.AP2022★ 4 cited
Stability estimate for the broken non-abelian X-ray transform in Minkowski space
Simon St-Amant
We study the broken non-abelian X-ray transform in Minkowski space. This transform acts on the space of Hermitian connections on a causal diamond and is known to be injective up to…