2 papers
math.AP2024
The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees
Jean-Philippe Anker, Guendalina Palmirotta, Yannick Sire
We investigate dispersive and Strichartz estimates for the Schrödinger equation involving the fractional Laplacian in real hyperbolic spaces and their discrete analogues, homogene…
math.AP2024
Wave equation on general noncompact symmetric spaces
Jean-Philippe Anker, Hong-Wei Zhang
We establish sharp pointwise kernel estimates and dispersive properties for the wave equation on noncompact symmetric spaces of general rank. This is achieved by combining the stat…