Global existence and asymptotic behavior of solutions for the coupled Klein-Gordon-Schrödinger equations

zbMath0845.35098MaRDI QIDQ1908625

Bo-ling Guo, Chang Xing Miao

Publication date: 4 March 1996

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemKlein-Gordon-Schrödinger equationsfinal value problemmodified wave operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with quantum mechanics (35Q40) Other fundamental interactions in quantum theory (81V19)

Related Items (15)

Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schrödinger System on Infinite Domains ⋮ Blowup results for the KGS system with higher order Yukawa coupling ⋮ Superconvergence results for nonlinear Klein-Gordon-Schrödinger equation with backward differential formula finite element method ⋮ Modified (G′∕G)-expansion method for finding exact wave solutions of the coupled Klein-Gordon-Schrödinger equation ⋮ Attractor for dissipative Klein-Gordon-Schrödinger equations in \(\mathbb{R}^3\) ⋮ High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation ⋮ High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system ⋮ An efficient linearly implicit and energy‐conservative scheme for two dimensional Klein–Gordon–Schrödinger equations ⋮ Klein-Gordon-Schrödinger system: Dinucleon field ⋮ A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations ⋮ Error estimates of a conservative finite difference Fourier pseudospectral method for the Klein-Gordon-Schrödinger equation ⋮ Uniform error estimates of a finite difference method for the Klein-Gordon-Schrödinger system in the nonrelativistic and massless limit regimes ⋮ Unconditional optimal error estimates of linearized, decoupled and conservative Galerkin FEMs for the Klein-Gordon-Schrödinger equation ⋮ Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation ⋮ A conservative compact difference scheme for the coupled Klein-Gordon-Schrödinger equation

This page was built for publication: Global existence and asymptotic behavior of solutions for the coupled Klein-Gordon-Schrödinger equations