Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations

Markus Stammberger; Heinrich Voss

Displaying similar documents to “Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations”

Locating real eigenvalues of a spectral problem in fluid-solid type structures.

Voss, Heinrich (2005)

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A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration

Heinrich Voss (2003)

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In this paper we prove a maxmin principle for nonlinear nonoverdamped eigenvalue problems corresponding to the characterization of Courant, Fischer and Weyl for linear eigenproblems. We apply it to locate eigenvalues of a rational spectral problem in fluid-solid interaction.

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Milan Kučera (1979)

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Existence of multiple principal eigenvalues for some indefinite linear eigenvalue problems

J. Fleckinger, J. Hernández, F. Thélin (2004)

Bollettino dell'Unione Matematica Italiana

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We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.