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2014 Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups
Heping Liu, Manli Song
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/219375

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.

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Heping Liu. Manli Song. "Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/219375

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021954
MathSciNet: MR3186953
Digital Object Identifier: 10.1155/2014/219375

Rights: Copyright © 2014 Hindawi

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