Inverse Nonlinear Scattering by a Metric
Peter Hintz, Ant\^onio S\'a Barreto, Gunther Uhlmann, Yang, Zhang
TL;DR
This paper investigates how to recover a time-dependent Lorentzian metric from scattering data related to semilinear wave equations, advancing understanding of inverse problems in mathematical physics.
Contribution
It introduces a novel approach to determine a dynamic Lorentzian metric using scattering operators for semilinear wave equations.
Findings
Successful reconstruction of the metric from scattering data
Extension of inverse scattering methods to time-dependent geometries
New theoretical framework for inverse problems in Lorentzian geometry
Abstract
We study the inverse problem of determining a time-dependent globally hyperbolic Lorentzian metric from the scattering operator for semilinear wave equations.
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Taxonomy
TopicsNonlinear Photonic Systems · Advanced Fiber Optic Sensors