9 citations · 28 across the 7 of their papers we have counts for
6 papers · 1 filter
Smoothing properties of dispersive equations on non-compact symmetric spaces
Vishvesh Kumar, Michael Ruzhansky, Hong-Wei Zhang
We establish the Kato-type smoothing property, i.e., global-in-time smoothing estimates with homogeneous weights, for the Schrödinger equation on Riemannian symmetric spaces of non…
Asymptotic behavior of solutions to the heat equation on noncompact symmetric spaces
Jean-Philippe Anker, Effie Papageorgiou, Hong-Wei Zhang
This paper is twofold. The first part aims to study the long-time asymptotic behavior of solutions to the heat equation on Riemannian symmetric spaces of noncompact type and…
Schrödinger equation on noncompact symmetric spaces
Jean-Philippe Anker, Stefano Meda, Vittoria Pierfelice +2
We establish sharp-in-time kernel and dispersive estimates for the Schrödinger equation on non-compact Riemannian symmetric spaces of any rank. Due to the particular geometry at in…
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…
Wave equation on certain noncompact symmetric spaces
Hong-Wei Zhang
In this paper, we prove sharp pointwise kernel estimates and dispersive properties for the linear wave equation on noncompact Riemannian symmetric spaces G/K of any rank with G com…
Wave and Klein-Gordon equations on certain locally symmetric spaces
Hong-Wei Zhang
This paper is devoted to study the dispersive properties of the linear Klein-Gordon and wave equations on a class of locally symmetric spaces. As a consequence, we obtain the Stric…