Journal of Lie Theory

no. 4
Equipartition of Energy for the Wave Equation Associated to the Dunkl-Cherednik Laplacian
Journal of Lie Theory, Volume 18 (2008) no. 4, pp. 747-755
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.
DOI: 10.5802/jolt.523
Classification: 35L05, 22E30, 33C67, 35L65, 58J45
Keywords: Dunkl-Cherednik operator, wave equation, energy, equipartition 
@article{JOLT_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},
     doi = {10.5802/jolt.523},
     zbl = {1171.35421},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.523/}
}
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F. Ayadi. Equipartition of Energy for the Wave Equation Associated to the Dunkl-Cherednik Laplacian. Journal of Lie Theory, Volume 18 (2008) no. 4, pp. 747-755. doi: 10.5802/jolt.523

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