An inverse scattering theorem for (1 + 1)-dimensional semi-linear wave equations with null conditions

DOI10.1142/S021989162150003XzbMath1471.35336OpenAlexW3165254846WikidataQ115245174 ScholiaQ115245174MaRDI QIDQ5008988

Mengni Li

Publication date: 18 August 2021

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

Full work available at URL: https://doi.org/10.1142/s021989162150003x

zbMATH Keywords

weighted energy estimatesnull structurescattering field

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

Global existence and scattering behavior for one dimensional wave maps into Riemannian manifolds ⋮ Global existence, scattering, rigidity and inverse scattering for some quasilinear hyperbolic systems ⋮ Inverse scattering of Alfvén waves in three dimensional ideal magnetohydrodynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global uniqueness theorems for linear and nonlinear waves
• Unique continuation from infinity for linear waves
• On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves
• On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry
• On one-dimension semi-linear wave equations with null conditions
• Almost global existence to nonlinear wave equations in three space dimensions
• Global solutions of nonlinear hyperbolic equations for small initial data
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Uniqueness and Nonuniqueness for the Radon Transform
• Radiation fields and hyperbolic scattering theory
• An Inverse Problem for Radiation Fields
• The paley‐wiener theorem for the radon transform
• The null condition for quasilinear wave equations in two space dimensions. I

This page was built for publication: An inverse scattering theorem for (1 + 1)-dimensional semi-linear wave equations with null conditions