The wave equation on Damek-Ricci spaces

نویسندگان

  • Jean-Philippe Anker
  • Vittoria Pierfelice
  • Maria Vallarino
  • JEAN–PHILIPPE ANKER
  • MARIA VALLARINO
چکیده

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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تاریخ انتشار 2017