Schrödinger Equations on Damek–Ricci Spaces

DOI10.1080/03605302.2010.539658zbMath1252.35245arXiv1010.2137OpenAlexW1891709635MaRDI QIDQ3104540

Vittoria Pierfelice, Maria Vallarino, Jean-Philippe Anker

Publication date: 14 December 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2137

zbMATH Keywords

Schrödinger equationStrichartz estimateheat kernel estimateDamek-Ricci spacesdispersive estimate

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Harmonic analysis and spherical functions (43A90) Equations in function spaces; evolution equations (58D25) Heat kernel (35K08)

Related Items (13)

Log-Sobolev inequalities for semi-direct product operators and applications ⋮ Schrödinger equations on locally symmetric spaces ⋮ Wave equation on certain noncompact symmetric spaces ⋮ Littlewood–Paley–Stein operators on Damek–Ricci spaces ⋮ Unique continuation inequalities for Schrödinger equation on Riemannian symmetric spaces of noncompact type ⋮ Strichartz estimates for the Schrödinger equation on products of compact groups and odd-dimensional spheres ⋮ Schrödinger equation on non-compact symmetric spaces ⋮ The incompressible Navier-Stokes equations on non-compact manifolds ⋮ Sobolev algebras on nonunimodular Lie groups ⋮ Some constructions for the fractional Laplacian on noncompact manifolds ⋮ Strichartz estimates for the Schrödinger flow on compact Lie groups ⋮ Norms of certain functions of a distinguished Laplacian on the \(ax+b\) groups ⋮ The wave equation on Damek-Ricci spaces

Cites Work

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