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Strichartz inequalities for the wave equation with the full Laplacian on the Heisenberg group

Giulia Furioli·Camillo Melzi·Alessandro Veneruso
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Abstract

We prove dispersive and Strichartz inequalities for the solution of the wave equation related to the full Laplacian on the Heisenberg group, by means of Besov spaces defined by a Littlewood--Paley decomposition related to the spectral resolution of the full Laplacian. This requires a careful analysis due also to the non-homogeneous nature of the full Laplacian. This result has to be compared to a previous one by Bahouri, Gérard and Xu concerning the solution of the wave equation related to the Kohn-Laplacian.

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Giulia Furioli, Camillo Melzi, Alessandro Veneruso. 2005-02-23. Strichartz inequalities for the wave equation with the full Laplacian on the Heisenberg group. https://arxiv.org/abs/math/0502497

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