Existence and uniqueness of energy solution to Klein-Gordon-Schrödinger equations
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Publication:649751
DOI10.1016/j.jde.2011.09.025zbMath1233.35180OpenAlexW2035326635MaRDI QIDQ649751
Qi-Hong Shi, Shu Wang, Yong Li
Publication date: 6 December 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2011.09.025
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Methods of quantum field theory in general relativity and gravitational theory (83C47) Weak solutions to PDEs (35D30)
Related Items (10)
Blowup results for the KGS system with higher order Yukawa coupling ⋮ Conservative Fourier spectral scheme for higher order Klein-Gordon-Schrödinger equations ⋮ Klein-Gordon-Schrödinger system: Dinucleon field ⋮ Extended wave solutions for a nonlinear Klein-Gordon-Zakharov system ⋮ Kato-type estimates for NLS equation in a scalar field and unique solvability of NKGS system in energy space ⋮ Solutions induced from bright solitons for nucleon-meson model ⋮ Nonrelativistic approximation in the energy space for KGS system ⋮ 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 ⋮ Well-Posedness for a Generalized Klein-Gordon-Schrödinger Equations ⋮ Conservative Fourier pseudo-spectral schemes for general Klein–Gordon–Schrödinger equations
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