LONG TIME BEHAVIOR OF THE SOLUTIONS OF NLW ON THE -DIMENSIONAL TORUS
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Publication:5219222
DOI10.1017/fms.2020.8zbMath1441.35169arXiv1906.05107OpenAlexW3009511667MaRDI QIDQ5219222
Joackim Bernier, Erwan Faou, Benoît Grébert
Publication date: 9 March 2020
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.05107
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Second-order semilinear hyperbolic equations (35L71)
Related Items (14)
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* ⋮ A note on lower bound lifespan estimates for semi-linear wave/Klein-Gordon equations associated with the harmonic oscillator ⋮ Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity ⋮ Exponential and sub-exponential stability times for the derivative wave equation ⋮ Dynamics of nonlinear Klein-Gordon equations in low regularity on \(\mathbb{S}^2\) ⋮ Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on tori ⋮ Partial normal form for the semilinear Klein-Gordon equation with quadratic potentials and algebraic non-resonant masses ⋮ Almost global existence for some Hamiltonian PDEs with small Cauchy data on general tori ⋮ On the stability of periodic multi-solitons of the KdV equation ⋮ Long-time existence for semi-linear beam equations on irrational tori ⋮ Super-exponential stability estimate for the nonlinear Schrödinger equation ⋮ Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity
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