Global Dynamics below the Ground State Energy for the Klein-Gordon-Zakharov System in the 3D Radial Case
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Publication:2875590
DOI10.1080/03605302.2013.836715zbMath1296.35191arXiv1304.3570OpenAlexW1973794419MaRDI QIDQ2875590
Zihua Guo, Kenji Nakanishi, Shu-xia Wang
Publication date: 8 August 2014
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.3570
Scattering theory for PDEs (35P25) Statistical mechanics of plasmas (82D10) Blow-up in context of PDEs (35B44) PDEs in connection with statistical mechanics (35Q82)
Related Items (7)
Stabilization for the Klein–Gordon–Zakharov system ⋮ Scattering for the quadratic Klein-Gordon equations ⋮ On the global well-posedness and scattering of the 3D Klein-Gordon-Zakharov system ⋮ Scattering for the quadratic beam equation with radial initial data ⋮ Local well-posedness for the Zakharov system in dimension \(d = 2, 3\) ⋮ On the decay problem for the Zakharov and Klein-Gordon-Zakharov systems in one dimension ⋮ Global Solution to the Klein--Gordon--Zakharov Equations with Uniform Energy Bounds
Cites Work
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- Instability of standing waves for Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions
- Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Energy convergence for singular limits of Zakharov type systems
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- Instability of standing wave, global existence and blowup for the Klein-Gordon-Zakharov system with different-degree nonlinearities
- Saddle points and instability of nonlinear hyperbolic equations
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- Scattering threshold for the focusing nonlinear Klein-Gordon equation
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- FROM THE KLEIN–GORDON–ZAKHAROV SYSTEM TO THE NONLINEAR SCHRÖDINGER EQUATION
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- Space‐time estimates for null forms and the local existence theorem
- Counterexamples to Local Existence for Semi-Linear Wave Equations
- Strong Instability of Standing Waves for the Nonlinear Klein–Gordon Equation and the Klein–Gordon–Zakharov System
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