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  • 1
    Electronic Resource
    Electronic Resource
    Asymptotic Energy Equipartition for the Wave Equation on Homogeneous Trees (1999)
    Springer
    Monatshefte für Mathematik 127 (1999), S. 43-53 
    Details
    ISSN: 1436-5081
    Keywords: Key words: Homogeneous trees ; Fourier analysis ; wave equation ; 1991 Mathematics Subject Classification: 43A85 ; 35L05; 39A12
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract.  Let ? be a homogeneous tree, ℒbe the Laplace operator of ?, and b be the bottom of its L 2 spectrum. Let u be a solution of the (modified) wave equation on ?. Using Fourier analysis on ? we show that the energy of u is asymptotically divided into equal potential and kinetic parts.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s006050050021
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