One can hear the corners of a drum

DOI10.1112/blms/bdv094zbMath1336.58020arXiv2012.06465OpenAlexW2200761462MaRDI QIDQ2788656

Julie Rowlett, Zhiqin Lu

Publication date: 22 February 2016

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.06465

zbMATH Keywords

Dirichlet Laplacianheat trace asymptoticsisospectralplanar domain

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat equation (35K05) Isospectrality (58J53)

Related Items (7)

Eigenvalue asymptotics for weighted Laplace equations on rough Riemannian manifolds with boundary ⋮ A Polyakov formula for sectors ⋮ The Neumann isospectral problem for trapezoids ⋮ Spectral determination of semi-regular polygons ⋮ Large deviations of multichordal \(\mathrm{SLE}_{0+}\), real rational functions, and zeta-regularized determinants of Laplacians ⋮ How to hear the corners of a drum ⋮ Disjointness-preserving operators and isospectral Laplacians

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• EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS
• A heat trace anomaly on polygons
• Can One Hear the Shape of a Drum?
• Spectral determination of analytic bi-axisymmetric plane domains

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