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
Cet article a éte moissonné depuis 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
Mots-clés : Dunkl-Cherednik operator, wave equation, energy, equipartition
@article{JLT_2008_18_4_JLT_2008_18_4_a0,
author = {F. Ayadi },
title = {Equipartition of {Energy} for the {Wave} {Equation} {Associated} to the {Dunkl-Cherednik} {Laplacian}},
journal = {Journal of Lie theory},
pages = {747--755},
year = {2008},
volume = {18},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JLT_2008_18_4_JLT_2008_18_4_a0/}
}
F. 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/JLT_2008_18_4_JLT_2008_18_4_a0/