Geodesic
Dispersive and Strichartz estimates on H-type groups
Martin Del Hierro1
1Université de Cergy-Pontoise Site St-Martin 2, av. Adolphe Chauvin 95302 Cergy-Pontoise, France
Studia Mathematica, Tome 169 (2005) no. 1, pp. 1-20
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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