The partial null conditions and global smooth solutions of the nonlinear wave equations on \(\mathbb{R}^d \times \mathbb{T}\) with \(d = 2, 3\)
DOI10.1016/J.JDE.2023.10.028arXiv2302.10385OpenAlexW4387889625MaRDI QIDQ6065764
Fei Hou, Fei Tao, Hui Cheng Yin
Publication date: 15 November 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.10385
Klein-Gordon equationnull conditionweighted energy estimatefully nonlinear wave equationvector fields methodauxiliary energypartial null condition
Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44)
Cites Work
- Unnamed Item
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- The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model
- On the formation of shocks for quasilinear wave equations
- Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions
- Global solution of the system of wave and Klein-Gordon equations
- Lectures on nonlinear hyperbolic differential equations
- Instability of the Kaluza-Klein vacuum
- Nonresonance and global existence of prestressed nonlinear elastic waves
- An intrinsic hyperboloid approach for Einstein Klein-Gordon equations
- Global solution to the wave and Klein-Gordon system under null condition in dimension two
- 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 smooth solutions of the 4-D quasilinear Klein-Gordon equations on the product space \(\mathbb{R}^3 \times \mathbb{T}\)
- The null condition for quasilinear wave equations in two space dimensions, II
- Global Well-Posedness of Incompressible Elastodynamics in Two Dimensions
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
- Global solutions of nonlinear hyperbolic equations for small initial data
- Decay estimates for the Klein ndesh Gordon equation
- Nonlinear Wave Equations in Infinite Waveguides
- Global, small amplitude solutions to nonlinear evolution equations
- Global Solutions of Wave-Klein--Gordon Systems in 2+1 Dimensional Space-Time with Strong Couplings in Divergence Form
- Nonlinear Hyperbolic Equations in Infinite Homogeneous Waveguides
- Well-posedness of the equation for the three-form field in eleven-dimensional supergravity
- 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
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