Theoretical aspects of a multiscale analysis of the eigenoscillations of the Earth.

Título inglés	Theoretical aspects of a multiscale analysis of the eigenoscillations of the Earth.
Título español	Aspectos teóricos de un análisis multiescala de las autooscilaciones de la Tierra.
Autor/es	Michel, Volker
Organización	Geomath. Group Dep. Math. Univ. Kaiserslautern, Kaiserslautern, Alemania
Revista	1139-1138
Publicación	2003, 16 (2): 519-554, 31 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	The elastic behaviour of the Earth, including its eigenoscillations, is usually described by the Cauchy-Navier equation. Using a standard approach in seismology we apply the Helmholtz decomposition theorem to transform the Fourier transformed Cauchy-Navier equation into two non-coupled Helmholtz equations and then derive sequences of fundamental solutions for this pair of equations using the Mie representation. Those solutions are denoted by the Hansen vectors Ln,j, Mn,j, and Nn,j in geophysics. Next we apply the inverse Fourier transform to obtain a function system depending on time and space. Using this basis for the space of eigenoscillations we construct scaling functions and wavelets to obtain a multiresolution for the solution space of the Cauchy-Navier equation.
Clasificación UNESCO	120213
Palabras clave español	Ecuaciones diferenciales elípticas ; Ecuación de Helmholtz ; Ondículas ; Análisis de Fourier
Código MathReviews	MR2032931
Código Z-Math	Zbl 1066.86006
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