Global solution to the wave and Klein-Gordon system under null condition in dimension two

DOI10.1016/j.jfa.2021.109232zbMath1475.35203arXiv2005.04767OpenAlexW3200777608MaRDI QIDQ2235850

Shijie Dong

Publication date: 22 October 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.04767

zbMATH Keywords

null conditionglobal-in-time solutionsghost weight methodsemilinear wave and Klein-Gordon equations

Mathematics Subject Classification ID

Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (9)

Global existence for systems of nonlinear wave and Klein-Gordon equations in two space dimensions under a kind of the weak null condition ⋮ The partial null conditions and global smooth solutions of the nonlinear wave equations on \(\mathbb{R}^d \times \mathbb{T}\) with \(d = 2, 3\) ⋮ Stabilization for the Klein–Gordon–Zakharov system ⋮ Global solutions of \(2\)-\(D\) cubic Dirac equation with non-compactly supported data ⋮ Two dimensional wave-Klein-Gordon equations with a below-critical nonlinearity ⋮ Asymptotic behavior of 2D wave-Klein-Gordon coupled system under null condition ⋮ Global behavior of small data solutions for the 2D Dirac–Klein-Gordon system ⋮ Global solutions of nonlinear wave-Klein-Gordon system in two spatial dimensions: a prototype of strong coupling case ⋮ Global Solution to the Klein--Gordon--Zakharov Equations with Uniform Energy Bounds

Cites Work

• The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model
• Semiclassical microlocal normal forms and global solutions of modified one-dimensional KG equations
• Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions
• Hyperbolic partial differential equations
• Global solution of the system of wave and Klein-Gordon equations
• Lectures on nonlinear hyperbolic differential equations
• Global existence for systems of nonlinear wave and Klein-Gordon equations with compactly supported initial data
• Global well-posedness for 2D nonlinear wave equations without compact support
• Global solutions for the Dirac-Proca equations with small initial data in 3+1 space time dimensions
• Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions
• Normal form and global solutions for the Klein-Gordon-Zakharov equations
• An intrinsic hyperboloid approach for Einstein Klein-Gordon equations
• Global solutions of nonlinear wave-Klein-Gordon system in two spatial dimensions: a prototype of strong coupling case
• Asymptotic behavior of the solution to the Klein-Gordon-Zakharov model in dimension two
• Global solution for massive Maxwell-Klein-Gordon equations with large Maxwell field
• Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities
• On the global regularity for a Wave-Klein-Gordon coupled system
• Global small data smooth solutions of 2-D null-form wave equations with non-compactly supported initial data
• Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds
• The null condition for quasilinear wave equations in two space dimensions, II
• Lifespan of solutions of semilinear wave equations in two space dimensions
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
• Normal forms and quadratic nonlinear Klein-Gordon equations
• Global solutions of nonlinear hyperbolic equations for small initial data
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Decay estimates for the Klein ndesh Gordon equation
• Asymptotic behavior of the solutions of maxwell—klein—gordon field equations in 4—dimensional minkowski space
• Time decay of maxwell—klein—gordon equations in 4—dimensional minkowski space
• Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
• Global solutions of quasilinear wave-Klein–Gordon system in two-space dimension: Technical tools
• Global solutions of quasilinear wave-Klein–Gordon system in two-space dimension: Completion of the proof
• Stability of Constant Equilibrium for the Maxwell-Higgs Equations
• The Einstein-Klein-Gordon Coupled System
• Global Solution to the Klein--Gordon--Zakharov Equations with Uniform Energy Bounds
• Global Solution for Massive Maxwell‐Klein‐Gordon Equations
• Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres
• Long-time Sobolev stability for small solutions of quasi-linear Klein-Gordon equations on the circle
• On the lifespan of solutions of nonlinear wave equations with small initial data
• The zero mass problem for Klein-Gordon equations: quadratic null interactions
• The null condition for quasilinear wave equations in two space dimensions. I
• Global Existence of Small Amplitude Solutions for a Model Quadratic Quasilinear Coupled Wave-Klein-Gordon System in Two Space Dimension, with Mildly Decaying Cauchy Data
• The zero mass problem for Klein–Gordon equations
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