Almost global existence for \(d\)-dimensional beam equation with derivative nonlinear perturbation

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Cites Work

Unnamed Item
Birkhoff normal form for partial differential equations with tame modulus
Normal forms for semilinear quantum harmonic oscillators
Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations
Almost global solutions of capillary-gravity water waves equations on the circle
A property of exponential stability in nonlinear wave equations near the fundamental linear mode
Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations
Long-time existence for multi-dimensional periodic water waves
Long-time existence for semi-linear beam equations on irrational tori
Quadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic tori
Waves in flexural beams with nonlinear adhesive interaction
Long time stability result for 1-dimensional nonlinear Schrödinger equation
Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models
Super-exponential stability estimate for the nonlinear Schrödinger equation
A Nekhoroshev type theorem for the nonlinear wave equation
An abstract Birkhoff normal form theorem and exponential type stability of the 1d NLS
Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations
A Nekhoroshev type theorem for the derivative nonlinear Schrödinger equation
A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus
Sub-exponential stability for the beam equation
Long time existence for the semi-linear beam equation on irrational tori of dimension two
Long-time existence for the semilinear Klein–Gordon equation on a compact boundary-less Riemannian manifold
Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations
Almost global existence for Hamiltonian semilinear Klein‐Gordon equations with small Cauchy data on Zoll manifolds
Exponential and sub-exponential stability times for the derivative wave equation

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