On the high–low method for NLS on the hyperbolic space

© 2020 Author(s). In this paper, we first prove that the cubic, defocusing nonlinear Schrödinger equation on the two dimensional hyperbolic space with radial initial data in Hs(H2) is globally well-posed and scatters when s > 3/4. Then, we extend the result to nonlinearities of order p > 3. Th...

Full description

Bibliographic Details
Main Authors: Staffilani, Gigliola, Yu, Xueying
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: AIP Publishing 2021
Online Access:https://hdl.handle.net/1721.1/135430