An abstract Birkhoff normal form theorem and exponential type stability of the 1d NLS
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Publication:2181964
DOI10.1007/s00220-019-03618-xzbMath1441.35217OpenAlexW2989054678WikidataQ115608984 ScholiaQ115608984MaRDI QIDQ2181964
Jessica Elisa Massetti, Luca Biasco, Michela Procesi
Publication date: 20 May 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-019-03618-x
Related Items (25)
Persistence of invariant tori in infinite-dimensional Hamiltonian systems ⋮ 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* ⋮ About linearization of infinite-dimensional Hamiltonian systems ⋮ Almost periodic invariant tori for the NLS on the circle ⋮ Exponential and sub-exponential stability times for the derivative wave equation ⋮ Dynamics of nonlinear Klein-Gordon equations in low regularity on \(\mathbb{S}^2\) ⋮ Stability and recursive solutions in Hamiltonian PDEs ⋮ Small amplitude weak almost periodic solutions for the 1d NLS ⋮ Almost global existence for \(d\)-dimensional beam equation with derivative nonlinear perturbation ⋮ Almost global existence for some Hamiltonian PDEs with small Cauchy data on general tori ⋮ Sub-exponential stability for the beam equation ⋮ Long time stability of KAM tori for the generalized Boussinesq equation ⋮ Ground state of the discrete elliptic operator and its application ⋮ Linear Schrödinger Equation with an Almost Periodic Potential ⋮ Transfers of energy through fast diffusion channels in some resonant PDEs on the circle ⋮ A note on the construction of Sobolev almost periodic invariant tori for the 1d NLS ⋮ Rational normal forms and stability of small solutions to nonlinear Schrödinger equations ⋮ Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations ⋮ ON THE EXISTENCE OF FULL DIMENSIONAL KAM TORUS FOR FRACTIONAL NONLINEAR SCHRÖDINGER EQUATION ⋮ Almost-periodic response solutions for a forced quasi-linear Airy equation ⋮ Long time stability result for 1-dimensional nonlinear Schrödinger equation ⋮ Super-exponential stability estimate for the nonlinear Schrödinger equation ⋮ Longer Lifespan for Many Solutions of the Kirchhoff Equation
Cites Work
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