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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/219375 |
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| author | Heping Liu Manli Song |
| author_facet | Heping Liu Manli Song |
| author_sort | Heping Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4df229243b904697a9b303cc5123c939 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4df229243b904697a9b303cc5123c9392025-02-03T01:22:23ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/219375219375Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type GroupsHeping Liu0Manli Song1School of Mathematical Sciences, Peking University, Beijing 100871, ChinaSchool of Mathematical Sciences, Peking University, Beijing 100871, ChinaWe 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.http://dx.doi.org/10.1155/2014/219375 |
| spellingShingle | Heping Liu Manli Song Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups Abstract and Applied Analysis |
| title | Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups |
| title_full | Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups |
| title_fullStr | Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups |
| title_full_unstemmed | Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups |
| title_short | Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups |
| title_sort | strichartz inequalities for the wave equation with the full laplacian on h type groups |
| url | http://dx.doi.org/10.1155/2014/219375 |
| work_keys_str_mv | AT hepingliu strichartzinequalitiesforthewaveequationwiththefulllaplacianonhtypegroups AT manlisong strichartzinequalitiesforthewaveequationwiththefulllaplacianonhtypegroups |