Bounds on the growth of energy for particles on the torus with unbounded time dependent perturbations (Q6597613)

scientific article; zbMATH DE number 7906066

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English	Bounds on the growth of energy for particles on the torus with unbounded time dependent perturbations	scientific article; zbMATH DE number 7906066

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instance of

scholarly article

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title

Bounds on the growth of energy for particles on the torus with unbounded time dependent perturbations (English)

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author

Dario Bambusi

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published in

Journal of Mathematical Physics

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publication date

3 September 2024

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MaRDI profile type

Publication

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cites work

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Q3927514

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The steep Nekhoroshev's theorem

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Wandering domains and random walks in Gevrey near-integrable systems

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Nekhoroshev estimates for finitely differentiable quasi-convex Hamiltonians

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A \(C^\infty\) Nekhoroshev theorem

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Hamiltonian perturbation theory for ultra-differentiable functions

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Nekhoroshev's estimates for quasi-periodic time-dependent perturbations

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Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. I

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Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. II

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Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems

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Fast rotations of the rigid body: a study by Hamiltonian perturbation theory. Part I

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Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori

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Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori

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Complex analysis and convolution operators

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Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian

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Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations

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A Nekhoroshev theorem for some perturbations of the Benjamin-Ono equation with initial data close to finite gap tori

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Growth of Sobolev norms in linear Schrödinger equations with quasi-periodic potential

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On growth in time of Sobolev norms of smooth solutions of nonlinear Schrödinger equations in \(\mathbb{R}^D\)

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Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations

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Growth of Sobolev Norms of Solutions of Linear Schrodinger Equations on Some Compact Manifolds

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Growth of Sobolev norms for abstract linear Schrödinger equations

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Long time dynamics of Schrödinger and wave equations on flat tori

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On the spectrum of the Schrödinger operator on 𝕋<sup>d</sup>: a normal form approach

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Identifiers

zbMATH Open document ID

1545.37051

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DOI

10.1063/5.0196229

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6597613