Journal of Lie Theory 18 (2008), No. 4, 747--755
Copyright Heldermann Verlag 2008
Equipartition of Energy for the Wave Equation Associated to the Dunkl-Cherednik Laplacian
Fatma Ayadi
Université de Tunis El Manar, Faculté des Sciences de Tunis, Dép. de Mathématiques, 2092 Tunis El Manar, Tunisia
and: Université d'Orléans, Lab. MAPMO (UMR 6628), Batiment de Mathématiques, 45067 Orléans Cedex 2, France
Fatma.Ayadi@etu.univ-orleans.fr
This paper is concerned with energy properties of the wave equation associated to the Dunkl-Cherednik Laplacian. We establish the conservation of the total energy, the strict equipartition of energy under suitable assumptions and the asymptotic equipartition in the general case.
Keywords: Dunkl-Cherednik operator, wave equation, energy, equipartition.
MSC: 35L05; 22E30, 33C67, 35L65, 58J45
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