Rational normal forms and stability of small solutions to nonlinear Schrödinger equations
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Publication:2040252
DOI10.1007/s40818-020-00089-5zbMath1475.37080arXiv1812.11414OpenAlexW3096425334MaRDI QIDQ2040252
Erwan Faou, Joackim Bernier, Benoît Grébert
Publication date: 12 July 2021
Published in: Annals of PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.11414
NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
Related Items (13)
Birkhoff normal forms for Hamiltonian PDEs in their energy space ⋮ Resonances and genericity in Birkhoff normal forms ⋮ Exponential stability estimate for the derivative nonlinear Schrödinger equation* ⋮ An abstract Birkhoff normal form theorem and exponential type stability of the 1d NLS ⋮ Exponential and sub-exponential stability times for the derivative wave equation ⋮ Dynamics of nonlinear Klein-Gordon equations in low regularity on \(\mathbb{S}^2\) ⋮ Normal form and dynamics of the Kirchhoff equation ⋮ Stability and recursive solutions in Hamiltonian PDEs ⋮ Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations ⋮ LONG TIME BEHAVIOR OF THE SOLUTIONS OF NLW ON THE -DIMENSIONAL TORUS ⋮ Long time stability result for 1-dimensional nonlinear Schrödinger equation ⋮ Birkhoff normal form for the derivative nonlinear Schrödinger equation ⋮ Longer Lifespan for Many Solutions of the Kirchhoff Equation
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