We prove reducibility of a transport equation on the d-dimensional torus Td 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.
Reducibility of Non-Resonant Transport Equation on Td with Unbounded Perturbations / D. Bambusi, B. Langella, R. Montalto. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - 20:6(2019 Jun), pp. 1893-1929. [10.1007/s00023-019-00795-2]
Reducibility of Non-Resonant Transport Equation on Td with Unbounded Perturbations
D. Bambusi;B. Langella;R. Montalto
2019
Abstract
We prove reducibility of a transport equation on the d-dimensional torus Td 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.
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