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

Almost global existence for the semi-linear Klein–Gordon equation on the circle

(2017) Daoyuan Fang et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting

(2017) Simon Baumstark et al.   MATHEMATICS OF COMPUTATION

Partially Strong Transparency Conditions and a Singular Localization Method In Geometric Optics

(2016) Yong Lu et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein–Gordon–Schrödinger equations in the nonrelativistic limit regime

(2016) Weizhu Bao et al.   NUMERISCHE MATHEMATIK

Asymptotic preserving schemes for the Klein–Gordon equation in the non-relativistic limit regime

(2013) Erwan Faou et al.   NUMERISCHE MATHEMATIK

Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime

(2011) Weizhu Bao et al.   NUMERISCHE MATHEMATIK

Long-time existence for semi-linear Klein–Gordon equations on tori

(2010) Daoyuan Fang et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

On long time existence for small solutions of semi-linear Klein-Gordon equations on the torus

(2009) J.-M. Delort   JOURNAL D ANALYSE MATHEMATIQUE