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Scaling inequalities and limits for clamped plate eigenvalues on geodesic disks

Harman, Scott
arXiv (OAI Expanded) · Papers
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spectral-theory
For the bilaplacian in spherical and hyperbolic spaces, clamped vibrating and buckling eigenvalues on geodesic disks are shown to satisfy scaling inequalities analogous to the standard scale invariance of Euclidean plate eigenvalues. These results extend curved-space scaling results from the Laplaci
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