English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In this article we prove a reducibility result for the linear Schr\"odingerequation on the sphere $\mathbb{S}^{n}$ with quasi-periodic in timeperturbation. Our result includes the case of unbounded perturbation that weassume to be of order strictly less than 1/2 and satisfying some paritycondition. As far as we know, this is one of the few reducibility results foran equation in more than one dimension with unbounded perturbations. We noticethat our result does not requires the use of the pseudo-differential calculus.

Reducibility of Schr\"odinger equation on the sphere