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math.AP2021★ 9 cited
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…
math.AP2021★ 1 cited
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…