On the global regularity for a Wave-Klein-Gordon coupled system
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Publication:2311724
DOI10.1007/s10114-019-8413-6zbMath1420.35057arXiv1703.02846OpenAlexW2963537678WikidataQ127817459 ScholiaQ127817459MaRDI QIDQ2311724
Alexandru D. Ionescu, Benoit Pausader
Publication date: 4 July 2019
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.02846
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with relativity and gravitational theory (35Q75) Second-order quasilinear hyperbolic equations (35L72) Initial value problems for second-order hyperbolic systems (35L52)
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Cites Work
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- Global solutions of the Euler-Maxwell two-fluid system in 3D
- The global stability of the Minkowski spacetime solution to the Einstein-nonlinear system in wave coordinates
- A new proof of long-range scattering for critical nonlinear Schrödinger equations.
- Nonlinear fractional Schrödinger equations in one dimension
- Global solutions of quasilinear systems of Klein-Gordon equations in 3D
- The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model
- Global smooth ion dynamics in the Euler-Poisson system
- Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions
- A wave operator for a nonlinear Klein-Gordon equation
- The global stability of Minkowski space-time in harmonic gauge
- On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
- Global solution of the system of wave and Klein-Gordon equations
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Blow-up of solutions of nonlinear wave equations in three space dimensions
- Global solutions of the gravity-capillary water-wave system in three dimensions
- Global existence for the Einstein vacuum equations in wave coordinates
- The evolution problem in general relativity
- Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions
- The Euler-Maxwell system for electrons: global solutions in 2D
- Global solutions for the gravity water waves system in 2d
- Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1
- The null condition for quasilinear wave equations in two space dimensions, II
- Global existence for the Euler-Maxwell system
- SCATTERING THEORY FOR THE GROSS–PITAEVSKII EQUATION IN THREE DIMENSIONS
- Global Solutions for 3D Quadratic Schrodinger Equations
- Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
- Normal forms and quadratic nonlinear Klein-Gordon equations
- Almost global existence to nonlinear wave equations in three space dimensions
- Global solutions of nonlinear hyperbolic equations for small initial data
- Uniform decay estimates and the lorentz invariance of the classical wave equation
- Almost global existence for solution of semilinear klein-gordon equations with small weakly decaying cauchy data
- Multispeed Klein–Gordon Systems in Dimension Three
- The Euler–Poisson System in 2D: Global Stability of the Constant Equilibrium Solution
- The Hyperboloidal Foliation Method
- Global solutions for the gravity water waves equation in dimension 3
- The null condition for quasilinear wave equations in two space dimensions. I