Multidimensional inverse scattering for the nonlinear Klein-Gordon equation with a potential

DOI10.1006/JDEQ.2001.4133zbMath1034.35155OpenAlexW1975439089MaRDI QIDQ701068

Ricardo Weder

Publication date: 16 October 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4133

zbMATH Keywords

uniquenessscattering operatorreconstructionnonlinear Klein-Gordon equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Second-order nonlinear hyperbolic equations (35L70)

Related Items (13)

The scattering map determines the nonlinearity ⋮ The inverse scattering problem for Schrödinger and Klein-Gordon equations with a nonlocal nonlinearity ⋮ Time-dependent method for non-linear Schrödinger equations in inverse scattering problems ⋮ Stability estimates for the recovery of the nonlinearity from scattering data ⋮ The matrix nonlinear Schrödinger equation with a potential ⋮ Inverse scattering problem for time dependent Hartree-Fock equations in the three-body case ⋮ Inverse Scattering for the Nonlinear Schrödinger Equation with the Yukawa Potential ⋮ TOPOLOGICAL EFFECTS IN QUANTUM MECHANICS AND HIGH VELOCITY ESTIMATES ⋮ Inverse \(N\)-body scattering with the time-dependent Hartree-Fock approximation ⋮ Scattering theory for the Klein–Gordon equation with nondecreasing potentials ⋮ Time-dependent methods in inverse scattering problems for the Hartree-Fock equation ⋮ Uniqueness on identification of cubic convolution nonlinearity ⋮ High-velocity estimates and inverse scattering for quantum N-body systems with Stark effect

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