Plane domains which are spectrally determined

DOI10.1023/A:1006641021540zbMath0960.35074OpenAlexW3163344291MaRDI QIDQ1590083

Kohtaro Watanabe

Publication date: 3 January 2001

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006641021540

zbMATH Keywords

eigenvalues of the Laplaciantrace of the heat kernelplanar drum problem

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (6)

The elastica problem under area constraint ⋮ Centrally symmetric analytic plane domains are spectrally determined in this class ⋮ The Neumann isospectral problem for trapezoids ⋮ One can hear the corners of a drum ⋮ Representation formula for the critical points of the Tadjbakhsh-Odeh functional and its application ⋮ The dynamics of elastic closed curves under uniform high pressure

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