Reducibility of Non-Resonant Transport Equation on Td with Unbounded Perturbations

Reducibility of Non-Resonant Transport Equation on Td with Unbounded Perturbations

We prove reducibility of a transport equation on the d -dimensional torus T d with a time quasiperiodic unbounded perturbation. As far as we know, this is one of the few reducibility results for an equation in more than one dimension with unbounded perturbations. Furthermore, the unperturbed problem...

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Veröffentlicht in:Annales Henri Poincaré 2019-06, Vol.20 (6), p.1893-1929
Hauptverfasser: Bambusi, Dario, Langella, Beatrice, Montalto, Riccardo
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Relativity Theory
Theoretical
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Zusammenfassung:We prove reducibility of a transport equation on the d -dimensional torus T d with a time quasiperiodic unbounded perturbation. As far as we know, this is one of the few reducibility results for an equation in more than one dimension with unbounded perturbations. Furthermore, the unperturbed problem has eigenvalues whose differences are dense on the real axis.
ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-019-00795-2