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Spectral gap for convex planar domains

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Abstract

A sharp lower bound is proved for the spectral gap of convex domains in the plane. Dirichlet boundary conditions are imposed on the Laplacian.

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Authors and Affiliations

  1. Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA

    Harold Donnelly

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  1. Harold Donnelly
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Correspondence to Harold Donnelly.

Additional information

H. Donnelly was partially supported by NSF Grant DMS-0504729.

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Donnelly, H. Spectral gap for convex planar domains. Math. Z. 269, 1–3 (2011). https://doi.org/10.1007/s00209-009-0629-1

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  • DOI: https://doi.org/10.1007/s00209-009-0629-1

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