In this article, we prove a reducibility result for the linear Schrödinger equation on a Zoll manifold with quasi-periodic in time pseudo-differential perturbation of order less than or equal to 1/2. As far as we know, this is the first reducibility result for an unbounded perturbation on a compact manifold different from the torus.
Feola, R., Grebert, B., Nguyen, T. (2020). Reducibility of Schrödinger equation on a Zoll manifold with unbounded potential. JOURNAL OF MATHEMATICAL PHYSICS, 61(7), 071501 [10.1063/5.0006536].
Reducibility of Schrödinger equation on a Zoll manifold with unbounded potential
Feola R.;Grebert B.;
2020-01-01
Abstract
In this article, we prove a reducibility result for the linear Schrödinger equation on a Zoll manifold with quasi-periodic in time pseudo-differential perturbation of order less than or equal to 1/2. As far as we know, this is the first reducibility result for an unbounded perturbation on a compact manifold different from the torus.File in questo prodotto:
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