Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds
Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds
We prove global weighted Strichartz estimates for radial solutions of linear Schrödinger equation on a class of rotationally symmetric noncompact manifolds, generalizing the known results on hyperbolic and Damek-Ricci spaces.This yields classical Strichartz estimates with a larger class of exponents than in the Euclidian case and improvements for the scattering …