The aim of this paper is to begin a systematic study of functional inequalities on symmetric
spaces of noncompact type of higher rank. Our first main goal of this study is to establish the …

We consider the generalized Boussinesq (GBq) equation on the real hyperbolic space
$\mathbb {H}^{n} $($ n\geq2 $) in a rough framework based on Lorentz spaces. First, we …

In this paper, we deal with the initial value fractional damped wave equation on G, a
compact Lie group, with power-type nonlinearity. The aim of this manuscript is twofold. First …

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 complex …

In this paper, we prove $ L^ 2\to L^ p $ estimates, where $ p> 2$, for spectral projectors on a
wide class of hyperbolic surfaces. More precisely, we consider projections in small spectral …

In this paper, we verified the critical conjecture in our previous work\cite {wang2023wave} on
two-dimensional hyperbolic space, that is, concerning nonlinear wave equations with …

In this paper, we prove L2→ Lp estimates, where p> 2, for spectral projectors on a wide
class of hyperbolic surfaces. More precisely, we consider projections in small spectral …

We prove that for a certain class of n dimensional rank one locally symmetric spaces, if f ∈
L p \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} …

Cette thèse est consacrée à l'étude de l'équation des ondes sur les espaces symétriques et
localement symétriques de type non compact. Un de nos principaux résultats est l'obtention …