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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| Publicat a: | Proc Natl Acad Sci U S A |
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| Autors principals: | , |
| Format: | Artigo |
| Idioma: | Inglês |
| Publicat: |
National Academy of Sciences
1981
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| Matèries: | |
| Accés en línia: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC319868/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592976/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.78.2.698 |
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