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The wave equation on Damek-Ricci spaces

Abstract : 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.
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Contributor : Jean-Philippe Anker Connect in order to contact the contributor
Submitted on : Thursday, December 2, 2010 - 10:47:32 AM
Last modification on : Tuesday, November 30, 2021 - 2:32:02 PM
Long-term archiving on: : Thursday, March 3, 2011 - 2:45:10 AM

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Jean-Philippe Anker, Vittoria Pierfelice, Maria Vallarino. The wave equation on Damek-Ricci spaces. Annali di Matematica Pura ed Applicata, Springer Verlag, 2015, 194 (3), pp.731-758. ⟨10.1007/s10231-013-0395-x⟩. ⟨hal-00542277⟩

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