Almost global smooth solutions of the 3D quasilinear Klein-Gordon equations on the product space \(\mathbb{R}^2 \times \mathbb{T}\)

Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

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Global solutions of quasilinear systems of Klein-Gordon equations in 3D
Invariant manifolds and dispersive Hamiltonian evolution equations
Birkhoff normal form for partial differential equations with tame modulus
On long time existence for small solutions of semi-linear Klein-Gordon equations on the torus
Lectures on nonlinear hyperbolic differential equations
Instability of the Kaluza-Klein vacuum
Birkhoff normal form for some nonlinear PDEs
The Cauchy problem for nonlinear Klein-Gordon equations
Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations
Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions
Global smooth solutions of the 4-D quasilinear Klein-Gordon equations on the product space \(\mathbb{R}^3 \times \mathbb{T}\)
Global existence and asymptotics for the quasilinear Klein-Gordon equation with small data in one space dimension
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
Sur le temps d'existence pour l'équation de Klein-Gordon semi-linéaire en dimension 1
Temps d'existence pour l'equation de Klein-Gordon semi-lineaire a donnees petites periodiques
Almost global existence for solution of semilinear klein-gordon equations with small weakly decaying cauchy data
Small data scattering for energy critical NLKG on product spaces Rd ×ℳ2
Large data scattering for NLKG on waveguide ℝd × 𝕋
The Euler–Poisson System in 2D: Global Stability of the Constant Equilibrium Solution
Nonlinear Hyperbolic Equations in Infinite Homogeneous Waveguides
Global solutions for the gravity water waves equation in dimension 3

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