Almost sharp nonlinear scattering in one-dimensional Born-Infeld equations arising in nonlinear electrodynamics

DOI10.1090/proc/13947zbMath1384.37095arXiv1707.02595OpenAlexW2964235313MaRDI QIDQ4604699

Claudio Muñoz, Miguel A. Alejo

Publication date: 5 March 2018

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

Full work available at URL: https://arxiv.org/abs/1707.02595

zbMATH Keywords

scatteringdecay estimatesBorn-Infeld equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (11)

Explicit self-similar solutions for a class of zero mean curvature equation and minimal surface equation ⋮ Asymptotic stability manifolds for solitons in the generalized good Boussinesq equation ⋮ Extended Decay Properties for Generalized BBM Equation ⋮ Symmetry analysis and some new exact solutions of Born–Infeld equation ⋮ Decay in the one dimensional generalized improved Boussinesq equation ⋮ Breathers and the dynamics of solutions in KdV type equations ⋮ Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system ⋮ On asymptotic stability of nonlinear waves ⋮ The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space ⋮ Dynamical behavior near explicit self-similar blow–up solutions for the Born–Infeld equation ⋮ Decay for Skyrme wave maps

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