Decay estimates for the three-dimensional inhomogeneous klein-gordon equation and applications
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Publication:3472454
DOI10.1080/03605308908820660zbMath0696.35015OpenAlexW2032841220MaRDI QIDQ3472454
Publication date: 1989
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605308908820660
Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for second-order hyperbolic equations (35L15)
Related Items
Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions ⋮ Normal form and global solutions for the Klein-Gordon-Zakharov equations ⋮ Weighted Decay Estimate for the Wave Equation ⋮ Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions ⋮ Global solution for coupled nonlinear Klein-Gordon system ⋮ Global existence of classical solutions to the damped Vlasov–Klein–Gordon equations with small data ⋮ Future stability of the 1 + 3 Milne model for the Einstein–Klein–Gordon system ⋮ The cubic Dirac equation: small initial data in \(H^1(\mathbb R^3)\) ⋮ Global existence of small amplitude solutions for the Klein-Gordon-Zakharov equations
Cites Work
- \(L^ p\)-decay rates for homogeneous wave-equations
- Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes 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
- Uniform decay estimates and the lorentz invariance of the classical wave equation
- Decay and scattering of solutions of a nonlinear relativistic wave equation
