2012•Asymptotic AnalysisRequires access

Eigenvalue asymptotics for second-order elliptic operators on networks

Joachim von Below, José A. Lubary

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Abstract

We determine the asymptotic behavior of the eigenvalues of second-order elliptic operators on finite networks under continuity and weighted Kirchhoff flow conditions at the vertices. It turns out that the quadratic growth formula in the symmetrizable

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What this paper is about

We determine the asymptotic behavior of the eigenvalues of second-order elliptic operators on finite networks under continuity and weighted Kirchhoff flow conditions at the vertices. It turns out that the quadratic growth formula in the symmetrizable

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We determine the asymptotic behavior of the eigenvalues of second-order elliptic operators on finite networks under continuity and weighted Kirchhoff flow conditions at the vertices. It turns out that the quadratic growth formula in the symmetrizable

Key concepts: Order (exchange), Eigenvalues and eigenvectors, Mathematics, Elliptic operator, Applied mathematics, Mathematical analysis, Pure mathematics, Physics

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