The wave equation on Damek-Ricci spaces

DOI10.1007/s10231-013-0395-xzbMath1329.35076arXiv1012.0689OpenAlexW1989175814WikidataQ125790657 ScholiaQ125790657MaRDI QIDQ2350645

Vittoria Pierfelice, Maria Vallarino, Jean-Philippe Anker

Publication date: 25 June 2015

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0689

zbMATH Keywords

Strichartz estimateglobal well-posednesssmall initial datadispersive estimate

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Harmonic analysis and spherical functions (43A90) Nonlinear evolution equations (47J35) Hyperbolic equations on manifolds (58J45) Equations in function spaces; evolution equations (58D25) Second-order semilinear hyperbolic equations (35L71)

Related Items

Wave and Klein-Gordon equations on certain locally symmetric spaces, Wave equation on certain noncompact symmetric spaces, Unnamed Item, Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds, The Shifted Wave Equation on Damek–Ricci Spaces and on Homogeneous Trees, Endpoint Results for Fourier Integral Operators on Noncompact Symmetric Spaces

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