Showing math.APShow all
2 papers · 1 filter
math.AP2026
Recovery of a Null Form in the Wave Equation from Scattering Data
Joel Nathe
We use highly oscillatory geometric optics solutions to solve the inverse problem for the system \begin{equation} \square \begin{bmatrix} u^{(1)}\\ u^{(2)}\\ \vdots\\ u^{(n)}\end{b…
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…