Geodesic
Dispersive and Strichartz estimates on H-type groups
Martin Del Hierro1
1 Université de Cergy-Pontoise Site St-Martin 2, av. Adolphe Chauvin 95302 Cergy-Pontoise, France
Studia Mathematica, Tome 169 (2005) no. 1, pp. 1-20

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Our purpose is to generalize the dispersive inequalities for the wave equation on the Heisenberg group, obtained in \cite{BGX}, to H-type groups. On those groups we get optimal time decay for solutions to the wave equation (decay as $t^{-p/2}$) and the Schrödinger equation (decay as $t^{(1-p)/2}$), $p$ being the dimension of the center of the group. As a corollary, we obtain the corresponding Strichartz inequalities for the wave equation, and, assuming that $p>1$, for the Schrödinger equation.
DOI : 10.4064/sm169-1-1
Keywords: purpose generalize dispersive inequalities wave equation heisenberg group obtained cite bgx h type groups those groups get optimal time decay solutions wave equation decay p schr dinger equation decay p being dimension center group corollary obtain corresponding strichartz inequalities wave equation assuming schr dinger equation

Martin Del Hierro 1

1 Université de Cergy-Pontoise Site St-Martin 2, av. Adolphe Chauvin 95302 Cergy-Pontoise, France 
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Martin Del Hierro. Dispersive and Strichartz estimates on H-type groups. Studia Mathematica, Tome 169 (2005) no. 1, pp. 1-20. doi: 10.4064/sm169-1-1

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