Radiation fields for semilinear wave equations

DOI10.1090/S0002-9947-2015-06061-9zbMath1315.35128arXiv1208.2743OpenAlexW2046225170MaRDI QIDQ5246984

Dean Baskin, Antônio Sá Barreto

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2743

zbMATH Keywords

Paley-Wiener theoremsupport theoremscattering operatordistorted nonlinear Fourier transform

Mathematics Subject Classification ID

Second-order semilinear hyperbolic equations (35L71)

Related Items (9)

Asymptotics for null-timelike boundary problems for general linear wave equations ⋮ Stability of Minkowski space and polyhomogeneity of the metric ⋮ Asymptotics and scattering for wave Klein-Gordon systems ⋮ Scattering from infinity for semilinear wave equations satisfying the null condition or the weak null condition ⋮ Equipartition of energy in geometric scattering theory ⋮ A local support theorem for the radiation fields on asymptotically Euclidean manifolds ⋮ Radiation fields on Schwarzschild spacetime ⋮ Inverse scattering for critical semilinear wave equations ⋮ Inverse problem for Einstein-scalar field equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Radiation fields, scattering, and inverse scattering on asymptotically hyperbolic manifolds
• A support theorem for the radiation fields on asymptotically Euclidean manifolds
• Non-unicité du problème de Cauchy
• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• Decay estimates for the critical semilinear wave equation
• The Radon transform.
• Regularity results for nonlinear wave equations
• The radiation field is a Fourier integral operator.
• Generalized Strichartz inequalities for the wave equation
• A non uniqueness result for operators of principal type
• Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions
• Scattering and inverse scattering on ACH manifolds
• Radiation fields and hyperbolic scattering theory
• High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
• Radiation Fields on Asymptotically Euclidean Manifolds
• The spectral projections and the resolvent for scattering metrics
• Notes on the wave equation on asymptotically Euclidean manifolds
• The Radon transform and translation representation

This page was built for publication: Radiation fields for semilinear wave equations