caa a22 4500 605496218 CHVBK 20210128100535.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10231-013-0395-x doi (NATIONALLICENCE)springer-10.1007/s10231-013-0395-x The wave equation on Damek-Ricci spaces [Elektronische Daten] [Jean-Philippe Anker, Vittoria Pierfelice, Maria Vallarino] 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. Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 Damek-Ricci spaces nationallicence Semilinear wave equation nationallicence Dispersive estimate nationallicence Strichartz estimate nationallicence Global well-posedness nationallicence Anker Jean-Philippe CNRS, Fédération Denis Poisson (FR 2964), Laboratoire MAPMO (UMR 6628), Université d'Orléans, Bâtiment de Mathématiques, Route de Chartres, B.P. 6759, 45067, Orléans Cedex 2, France aut Pierfelice Vittoria CNRS, Fédération Denis Poisson (FR 2964), Laboratoire MAPMO (UMR 6628), Université d'Orléans, Bâtiment de Mathématiques, Route de Chartres, B.P. 6759, 45067, Orléans Cedex 2, France aut Vallarino Maria Dipartimento di Scienze Matematiche "Giuseppe Luigi Lagrange”, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy aut Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/3(2015-06-01), 731-758 0373-3114 194:3<731 2015 194 10231 https://doi.org/10.1007/s10231-013-0395-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10231-013-0395-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Anker Jean-Philippe CNRS, Fédération Denis Poisson (FR 2964), Laboratoire MAPMO (UMR 6628), Université d'Orléans, Bâtiment de Mathématiques, Route de Chartres, B.P. 6759, 45067, Orléans Cedex 2, France aut NATIONALLICENCE 700 1- Pierfelice Vittoria CNRS, Fédération Denis Poisson (FR 2964), Laboratoire MAPMO (UMR 6628), Université d'Orléans, Bâtiment de Mathématiques, Route de Chartres, B.P. 6759, 45067, Orléans Cedex 2, France aut NATIONALLICENCE 700 1- Vallarino Maria Dipartimento di Scienze Matematiche "Giuseppe Luigi Lagrange”, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/3(2015-06-01), 731-758 0373-3114 194:3<731 2015 194 10231