The spectral geometry of flat disks

DOI10.1215/S0012-7094-90-06106-XzbMath0712.58012OpenAlexW2130586730MaRDI QIDQ748977

Robert Brooks, Curtis T. McMullen, Ya. M. Ehliashberg

Publication date: 1990

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-90-06106-x

zbMATH Keywords

heat equationDirichlet or Neumann boundary conditionsspectral geometryflat disksplanar disks

Mathematics Subject Classification ID

Heat equation (35K05) Spectral theory; eigenvalue problems on manifolds (58C40)

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Cites Work

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• Compact isospectral sets of surfaces
• A note on Hayman's theorem on the bass note of a drum
• The First Eigenvalue of a Scalene Triangle
• Extensions of Normal Immersions of S 1 into R 2
• Can One Hear the Shape of a Drum?