Anzeige
Erschienen in:
2003 | OriginalPaper | Buchkapitel
Absence of Positive Eigenvalues for the Linearized Elasticity System. The Half-space Case
verfasst von : Mourad Sini
Erschienen in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
In this paper, we deal with the linearized and isotropic elasticity system defined on a domain Ω given by a local perturbation of the half-space. We prove that it has no positive eigenvalues. We give a method based on a “pseudo-decomposition” using the operations div and curl in the horizontal direction and the partial Fourier transform. The reduced problems depend strongly on the dual Fourier variable which do not unable us to use known techniques as the limiting absorption technique. To study these reduced problems, we use the analytic theory of linear operators.