2 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
The distribution of negative eigenvalues of Schrödinger operators on asymptotically hyperbolic manifolds
Antônio Sá Barreto, Yiran Wang
We study the asymptotic behavior of the counting function of negative eigenvalues of Schrödinger operators with real valued potentials on asymptotically hyperbolic manifolds. We es…
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.
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…