A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential
DOI10.3934/dcdsb.2017215zbMath1410.35154arXiv1705.03105OpenAlexW2963643076MaRDI QIDQ1756843
Publication date: 27 December 2018
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.03105
Hamiltonian systemsnormal formsnonlinear Klein-Gordon equationlong time behaviourNekhoroshev theorem
Asymptotic behavior of solutions to PDEs (35B40) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) PDEs in connection with quantum mechanics (35Q40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
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Cites Work
- Unnamed Item
- Almost global existence for the semi-linear Klein-Gordon equation on the circle
- Invariant manifolds and dispersive Hamiltonian evolution equations
- Birkhoff normal form for splitting methods applied to semilinear Hamiltonian PDEs. II: Abstract splitting
- Birkhoff normal form for partial differential equations with tame modulus
- Long-time existence for semi-linear Klein-Gordon equations on tori
- On long time existence for small solutions of semi-linear Klein-Gordon equations on the torus
- Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations
- Nekhoroshev estimates for quasi-convex Hamiltonian systems
- Birkhoff normal form for some nonlinear PDEs
- Long time stability in perturbations of completely resonant PDE's
- Invariant tori in non-degenerate nearly integrable Hamiltonian systems
- A property of exponential stability in nonlinear wave equations near the fundamental linear mode
- A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus
- Long-time existence for the semilinear Klein–Gordon equation on a compact boundary-less Riemannian manifold
- Almost global existence for the nonlinear Klein-Gordon equation in the nonrelativistic limit
- A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- On long time stability in Hamiltonian perturbations of non-resonant linear PDEs
- Complex analysis and convolution operators
- On Nekhoroshev estimates for a nonlinear Schrödinger equation and a theorem by Bambusi
- Almost global existence for Hamiltonian semilinear Klein‐Gordon equations with small Cauchy data on Zoll manifolds
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