Geodesic
Equipartition of Energy for the Wave Equation Associated to the Dunkl-Cherednik Laplacian
Fatma Ayadi1, 2
1Université de Tunis El Manar, Faculté des Sciences de Tunis, Dép. de Mathématiques, 2092 Tunis El Manar, Tunisia
2Université d'Orléans, Lab. MAPMO (UMR 6628), Batiment de Mathématiques, 45067 Orléans Cedex 2, France
Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 747-755

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 35L05, 22E30, 33C67, 35L65, 58J45
Mots-clés : Dunkl-Cherednik operator, wave equation, energy, equipartition

Fatma Ayadi  1 , 2

1 Université de Tunis El Manar, Faculté des Sciences de Tunis, Dép. de Mathématiques, 2092 Tunis El Manar, Tunisia
2 Université d'Orléans, Lab. MAPMO (UMR 6628), Batiment de Mathématiques, 45067 Orléans Cedex 2, France 
Fatma Ayadi. Equipartition of Energy for the Wave Equation Associated to the Dunkl-Cherednik Laplacian. Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 747-755. http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a0/
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     title = {Equipartition of {Energy} for the {Wave} {Equation} {Associated} to the {Dunkl-Cherednik} {Laplacian}},
     journal = {Journal of Lie Theory},
     pages = {747--755},
     year = {2008},
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     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a0/}
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