KAM for the nonlinear wave equation on the circle: a normal form theorem
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Publication:2328190
DOI10.1007/S40574-018-0164-2zbMath1441.37083arXiv1712.01599OpenAlexW2964093928WikidataQ129563066 ScholiaQ129563066MaRDI QIDQ2328190
Publication date: 9 October 2019
Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.01599
Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
Cites Work
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- KAM for PDEs
- Reducible quasi-periodic solutions for the non linear Schrödinger equation
- KAM for the Klein Gordon equation on \(\mathbb {S}^d\)
- KAM for the quantum harmonic oscillator
- KAM for the nonlinear beam equation
- Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
- KAM for the nonlinear Schrödinger equation
- KAM tori for 1D nonlinear wave equations with periodic boundary conditions
- Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
- Quasi-periodic solutions for a nonlinear wave equation
- KAM theory for the Hamiltonian derivative wave equation
- PERTURBATION OF QUASIPERIODIC SOLUTIONS OF INFINITE-DIMENSIONAL HAMILTONIAN SYSTEMS
- PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
- The KAM Story
- SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
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