Almost global existence for the nonlinear Klein-Gordon equation in the nonrelativistic limit

DOI10.1063/1.4994969zbMath1383.35197arXiv1703.01618OpenAlexW3100381583MaRDI QIDQ3134095

No author found.

Publication date: 8 February 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01618

zbMATH Keywords

nonlinear differential equationswave equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations ⋮ A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential ⋮ Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Partially strong transparency conditions and a singular localization method in geometric optics
• Almost global existence for the semi-linear Klein-Gordon equation on the circle
• A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation
• Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
• Birkhoff normal form for partial differential equations with tame modulus
• Long-time existence for semi-linear Klein-Gordon equations on tori
• On long time existence for small solutions of semi-linear Klein-Gordon equations on the torus
• Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
• Invariant tori in non-degenerate nearly integrable Hamiltonian systems
• From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations
• Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit
• Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime
• Long-time existence for the semilinear Klein–Gordon equation on a compact boundary-less Riemannian manifold
• Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions
• The nonrelativistic limit of the nonlinear Klein-Gordon equation
• Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting

This page was built for publication: Almost global existence for the nonlinear Klein-Gordon equation in the nonrelativistic limit