Dirichlet eigenvalue

id: dirichlet-eigenvalue-246-12808355
title: Dirichlet eigenvalue
text: In mathematics, the Dirichlet eigenvalues are the fundamental modes of vibration of an idealized drum with a given shape. The problem of whether one can hear the shape of a drum is: given the Dirichlet eigenvalues, what features of the shape of the drum can one deduce. Here a "drum" is thought of as an elastic membrane Ω, which is represented as a planar domain whose boundary is fixed. The Dirichlet eigenvalues are found by solving the following problem for an unknown function u ≠ 0 and eigenval
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original url: https://en.wikipedia.org/wiki/Dirichlet_eigenvalue
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date modified: 2022-08-22T13:05:03Z
main entity: {"identifier":"Q5280763","url":"https://www.wikidata.org/entity/Q5280763"}
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