Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Heping& Song, Manli. 2014. Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033614
Modern Language Association (MLA)
Liu, Heping& Song, Manli. Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1033614
American Medical Association (AMA)
Liu, Heping& Song, Manli. Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033614
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033614
