Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/219375 |
| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |