3 papers
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.SP2025
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 e…
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.