Strichartz Inequalities for the Wave Equation with the Full Laplacian on H‐Type Groups

Heping Liu and Manli Song

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We generalize the dispersive estimates and Strichartz inequalities for the solution of the wave equation related to the full Laplacian on H‐type groups, by means of Besov spaces defined by a Littlewood‐Paley decomposition related to the spectral of the full Laplacian. The dimension of the center on those groups is p and we assume that p > 1. A key point consists in estimating the decay in time of the L∞ norm of the free solution. This requires a careful analysis due also to the nonhomogeneous nature of the full Laplacian.

Date: 2014
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https://doi.org/10.1155/2014/219375

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:219375

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