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math.AP2013
Stability estimate and the Aharonov-Bohm effect for the Klein-Gordon equation with time-dependent vector potentials
Ricardo Salazar, Alden Waters
We consider the relativistic Schrödinger (Gordon-Klein) equation with a time dependent vector and a scalar potential on a bounded cylindrical domain. Using a standard Geometric Opt…
math.AP2013★ 2 cited
Stability for Time Dependent X-ray Transforms and Applications
Alden Waters
We prove a logarithmic stability estimate for the time dependent X-ray transform on . To do so, we extend a known result by Begmatov for the stabi…
math.AP2013★ 1 cited
Stable determination of X-ray transforms of time dependent potentials from the dynamical Dirichlet-to-Neumann map
Alden Waters
We consider compact smooth Riemmanian manifolds with boundary of dimension greater than or equal to two. For the initial-boundary value problem for the wave equation with a lower o…