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Spectral gap for convex planar domains

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Publication:641892
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DOI10.1007/s00209-009-0629-1zbMath1228.35248OpenAlexW1999672863MaRDI QIDQ641892

Harold Donnelly

Publication date: 25 October 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-009-0629-1



Mathematics Subject Classification ID

Heat equation (35K05) Schrödinger operator, Schrödinger equation (35J10) PDEs in connection with classical thermodynamics and heat transfer (35Q79)


Related Items (1)

Rebuttal of Donnelly's paper on the spectral gap



Cites Work

  • On the nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^ 2\)
  • Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains
  • On the spectral gap for fixed membranes
  • The diameter of the first nodal line of a convex domain
  • Variation and optimization of formes. A geometric analysis
  • The Eigenvalue Gap for One-Dimensional Convex Potentials
  • Gradient estimates for the ground state Schrödinger eigenfunction and applications.
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