Long time stability for the derivative nonlinear Schrödinger equation

Partial differential equations of mathematical physics and other areas of application (35Qxx) Qualitative properties of solutions to partial differential equations (35Bxx) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx)

Cites Work

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Almost global solutions to Hamiltonian derivative nonlinear Schrödinger equations on the circle
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
Birkhoff normal form for some nonlinear PDEs
On diffusion in high-dimensional Hamiltonian systems and PDE
Almost global solutions of capillary-gravity water waves equations on the circle
Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations
Rational normal forms and stability of small solutions to nonlinear Schrödinger equations
Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations
Birkhoff normal form for the derivative nonlinear Schrödinger equation
An abstract Birkhoff normal form theorem and exponential type stability of the 1d NLS
A Nekhoroshev type theorem for the derivative nonlinear Schrödinger equation
KAM for the derivative nonlinear Schrödinger equation with periodic boundary conditions
A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus
Invariant Cantor manifolds of quasi-periodic solutions for the derivative nonlinear Schrödinger equation
Stability of KAM tori for nonlinear Schrödinger equation
Long-Time Existence for Semi-Linear Klein–Gordon Equations with Quadratic Potential
Exponential stability estimate for the derivative nonlinear Schrödinger equation*
Long Time Stability of Hamiltonian Partial Differential Equations
LONG TIME BEHAVIOR OF THE SOLUTIONS OF NLW ON THE -DIMENSIONAL TORUS
A large probability averaging theorem for the defocusing NLS
Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres
Almost global existence for Hamiltonian semilinear Klein‐Gordon equations with small Cauchy data on Zoll manifolds

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