9 citations · 11 across the 18 of their papers we have counts for
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Long-time asymptotics for the heat kernel and for heat equation solutions on homogeneous trees
Effie Papageorgiou
We study the large-time behavior of the continuous-time heat kernel and of solutions to the heat equation on homogeneous trees. First, we derive sharp asymptotic formulas for the h…
asymptotics for the heat equation on symmetric spaces for non-symmetric solutions
Effie Papageorgiou
The main goal of this work is to study the -asymptotic behavior of solutions to the heat equation on arbitrary rank Riemannian symmetric spaces of non-compact type for n…
Large-time behavior of two families of operators related to the fractional Laplacian on certain Riemannian manifolds
Effie Papageorgiou
This note is concerned with two families of operators related to the fractional Laplacian, the first arising from the Caffarelli-Silvestre extension problem and the second from the…
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces
Effie Papageorgiou
This work deals with the extension problem for the fractional Laplacian on Riemannian symmetric spaces of noncompact type and of general rank, which gives rise to a family of…
Pointwise convergence to initial data for some evolution equations on symmetric spaces
Tommaso Bruno, Effie Papageorgiou
Let be either the Laplace--Beltrami operator, its shift without spectral gap, or the distinguished Laplacian on a symmetric space of noncompact type of a…
Asymptotics for the infinite Brownian loop on noncompact symmetric spaces
Effie Papageorgiou
The infinite Brownian loop on a Riemannian manifold is the limit in distribution of the Brownian bridge of length around a fixed origin when . The aim of…
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…
Oscillating multipliers on rank one locally symmetric spaces
Effie Papageorgiou
We prove -boundedness of oscillating multipliers on some classes of rank one locally symmetric spaces.
Schrödinger Equations on normal real form Symmetric Spaces
Anestis Fotiadis, Effie Papageorgiou
We prove dispersive and Strichartz estimates for Schrödinger equations on normal real form symmetric spaces. These estimates apply to the well-posedness and scattering for the nonl…
Littlewood-Paley-Stein operators on Damek-Ricci spaces
Anestis Fotiadis, Effie Papageorgiou
We obtain pointwise upper bounds on the derivatives of the heat kernel on Damek-Ricci spaces. Applying these estimates we prove the -boundedness of Littlewood-Paley-Stein oper…
The derivatives of the heat kernel on symmetric spaces
A. Fotiadis, E. Papageorgiou
We derive estimates of the derivatives of the heat kernel on noncompact symmetric spaces and on locally symmetric spaces. Applying these estimates we study the -boundedness…