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Equipartition of energy for higher-order hyperbolic equations

Let A(0), A(1),...,A(2(N)-1) be commuting skew-adjoint operators on a Hilbert space [unk]. Then the equation Π(j=0)(2(N)-1) (d/dt - A(j))v(t) = 0 (t real) admits equipartition of energy [in the sense that the jth partial energy E(j)(t) of any solution at time t satisfies lim(t→±∞)E(j)(t) = 2(-N)·(to...

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Detalles Bibliográficos
Main Authors: Goldstein, Jerome A., Sandefur, James T.
Formato: Artigo
Idioma:Inglês
Publicado: 1981
Assuntos:
Acceso en liña:https://ncbi.nlm.nih.gov/pmc/articles/PMC319868/
https://ncbi.nlm.nih.gov/pubmed/16592976
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