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On the Cauchy problem for the coupled Klein Gordon Schrödinger system with rough data

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Publication:1770157
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DOI10.3934/dcds.2005.12.233zbMath1061.35098OpenAlexW2034439390MaRDI QIDQ1770157

Han Yang

Publication date: 11 April 2005

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2005.12.233


zbMATH Keywords

well-posednessnonlinear Schrödinger equationKlein-Gordon-Schrödinger systemreal scalar meson fieldcomplex scalar nucleon fieldinteraction equationnonlinear couple termsrough data


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)


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Exponential decay for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping ⋮ Asymptotic behavior of the coupled Klein–Gordon–Schrödinger systems on compact manifolds ⋮ On existence and scattering theory for the Klein-Gordon-Schrödinger system in an infinite \(L^{2}\)-norm setting



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