Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups. (16th March 2014)

• Record Type: Journal Article
• Authors: Liu, Heping; Song, Manli
• Other Names: Fan Dashan Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-03-16
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/219375
• Languages: English
• ISSNs: 1085-3375

Abstract

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.