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math.AP2026
The Recovery of Semilinear Potentials Satisfying Null Conditions From Scattering Data
Joel Nathe, Antônio Sá Barreto
We construct oscillatory solutions of fully semilinear wave equations in Minkowski space satisfying a null condition of the form $$\square u:=(-\partial_{x_0}^2 +\sum_{j=1}^n \part…
math.AP2024
Inverse Nonlinear Scattering by a Metric
Peter Hintz, Antônio Sá Barreto, Gunther Uhlmann +1
We study the inverse problem of determining a time-dependent globally hyperbolic Lorentzian metric from the scattering operator for semilinear wave equations.
math.AP1997★ 2 cited
Recovering asymptotics of metrics from fixed energy scattering data
Antônio Sá Barreto, Mark Joshi
The problem of recovering the asymptotics of a short range perturbation of the Euclidean metric on R^n from fixed energy scattering data is studied. It is shown that if two such me…