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arXiv · 1808.01504

Reducibility of non-resonant transport equation on $T^d$ with unbounded perturbations

Dario Bambusi·Beatrice Langella·Riccardo Montalto
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Abstract

We prove reducibility of a transport equation on the $d$-dimensional torus $T^d$ with a time quasi-periodic unbounded perturbation. As far as we know this is the first example of a reducibility result for an equation in more than one dimensions with unbounded perturbations. Furthermore the unperturbed problem has eigenvalues whose differences are dense on the real axis.

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Dario Bambusi, Beatrice Langella, Riccardo Montalto. 2018-08-04. Reducibility of non-resonant transport equation on $T^d$ with unbounded perturbations. https://doi.org/10.1007/s00023-019-00795-2

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