Reducibility of non-resonant transport equation on \({\mathbb {T}}^d\) with unbounded perturbations
DOI10.1007/S00023-019-00795-2zbMath1434.82077arXiv1808.01504OpenAlexW2885758080MaRDI QIDQ2420588
Beatrice Langella, Riccardo Montalto, Dario Bambusi
Publication date: 6 June 2019
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.01504
stabilityKAM theorypseudo-differential operatorunbounded perturbationssymmetric hyperbolicitynon-resonant transport equationsecond order Melnikov conditions
Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Transport processes in time-dependent statistical mechanics (82C70) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
Related Items (17)
Cites Work
- Unnamed Item
- Unnamed Item
- KAM for autonomous quasi-linear perturbations of mKdV
- Exact controllability for quasilinear perturbations of KdV
- On time dependent Schrödinger equations: global well-posedness and growth of Sobolev norms
- Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II
- On reducibility of Schrödinger equations with quasiperiodic in time potentials
- Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum
- Pseudodifferential operators and nonlinear PDE
- Nearly integrable infinite-dimensional Hamiltonian systems
- On small-denominators equations with large variable coefficients
- Reducibility of first order linear operators on tori via Moser's theorem
- Controllability of quasi-linear Hamiltonian NLS equations
- Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation
- Control of water waves
- Floquet Hamiltonians with pure point spectrum
- Time quasi-periodic gravity water waves in finite depth
- On reducibility of quantum harmonic oscillator on \(\mathbb{R}^d\) with quasiperiodic in time potential
- Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations
- Standing waves on an infinitely deep perfect fluid under gravity
- Growth of Sobolev norms for abstract linear Schrödinger equations
- Spectrum for quantum duffing oscillator and small-divisor equation with large-variable coefficient
- On the growth of Sobolev norms for a class of linear Schrödinger equations on the torus with superlinear dispersion
- Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I
- Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III
- Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves
- A Reducibility Result for a Class of Linear Wave Equations on ${\mathbb T}^d$
- Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods
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