10 papers
Explicit harmonic and wave maps into variable-curvature surfaces
Anestis Fotiadis, Giannis Polychrou
Explicit harmonic and wave maps are typically available only in highly symmetric or constant-curvature settings, where additional symmetry or integrability structures are present.…
New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation
Giannis Polychrou, Effie Papageorgiou, Anestis Fotiadis +1
We study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In \cite{FotDask}, harmonic maps are related to the sinh-Gordon equation and a B{ä}ck…
Riesz means on symmetric spaces
Anestis Fotiadis, Effie Papageorgiou
Let be a non-compact symmetric space of dimension . We prove that if , , then the Riesz means converge to almost…
Beltrami equation for the harmonic diffeomorphisms between surfaces
Anestis Fotiadis, Costas Daskaloyannis
In this article it is shown that the study of harmonic diffeomorphisms, with nonvanishing Hopf differential, reduces to the study of the Beltrami equation of a certain type: the im…
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…
Schrödinger equation on locally symmetric spaces
Anestis Fotiadis, Nikolaos Mandouvalos, Michel Marias
We prove dispersive and Strichartz estimates for Schrö- dinger equations on a class of locally symmetric spaces Γ\X, where X = G/K is a symmetric space and Γ is a torsion free disc…
Harmonic extensions of quasisymmetric maps
Anestis Fotiadis
We study the Dirichlet problem for harmonic maps between hyperbolic planes, under the assumption that the Euclidean harmonic extension of the boundary map is quasiconformal.
The Ptolemaean Inequality in H--type groups
Anestis Fotiadis, Ioannis D. Platis
We prove the Ptolemaean Inequality and the Theorem of Ptolemaeus in the setting of --type groups of Iwasawa--type.