The wave equation on Damek–Ricci spaces
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- 作者：Jean-Philippe Anker ; Vittoria Pierfelice…
- 关键词：Damek–Ricci spaces ; Semilinear wave equation ; Dispersive estimate ; Strichartz estimate ; Global well ; posedness ; 35L05 ; 43A85 ; 58J45 ; 22E30 ; 35L71 ; 43A90 ; 47J35 ; 58D25
- 刊名：Annali di Matematica Pura ed Applicata
- 出版年：2015
- 出版时间：June 2015
- 年：2015
- 卷：194
- 期：3
- 页码：731-758
- 全文大小：643 KB
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Vittoria Pierfelice (1)
Maria Vallarino (2)
1. CNRS, Fédération Denis Poisson (FR 2964), Laboratoire MAPMO (UMR 6628), Université d’Orléans, Batiment de Mathématiques, Route de Chartres, B.P. 6759, 45067?, Orléans Cedex 2, France
2. Dipartimento di Scienze Matematiche “Giuseppe Luigi Lagrange- Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129?, Torino, Italy - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics - 出版者：Springer Berlin / Heidelberg
- ISSN：1618-1891
文摘
We study the dispersive properties of the wave equation associated with the shifted Laplace–Beltrami operator on Damek–Ricci spaces and deduce Strichartz estimates for a large family of admissible pairs. As an application, we obtain global well-posedness results for the nonlinear wave equation.