The Cauchy Problem for the Klein–Gordon–Schrödinger System in Low Dimensions Below the Energy Space

DOI10.1081/PDE-200059260zbMath1075.35082MaRDI QIDQ5314604

Nikolaos Tzirakis

Publication date: 5 September 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemglobal well-posednessexistence of a global solutionKlein-Gordon-Schrödinger equation

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (8)

Global well-posedness of the fractional Klein-Gordon-Schrödinger system with rough initial data ⋮ Exponential decay for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping ⋮ On coupled Klein-Gordon-Schrödinger equations with acoustic boundary conditions ⋮ Smoothing for the Zakharov and Klein--Gordon--Schrödinger Systems on Euclidean Spaces ⋮ Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems ⋮ Well-Posedness for a Generalized Klein-Gordon-Schrödinger Equations ⋮ On existence and scattering theory for the Klein-Gordon-Schrödinger system in an infinite \(L^{2}\)-norm setting ⋮ Global well-posedness for the Klein-Gordon-Schrödinger system with higher order coupling

Cites Work

• Unnamed Item
• Scattering in the energy space and below for 3D NLS
• On the Cauchy problem for the Zakharov system
• Multilinear estimates for periodic KdV equations, and applications
• Global Well-Posedness for Schrödinger Equations with Derivative
• A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋

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