Any three eigenvalues do not determine a triangle

نویسندگان

چکیده

Despite the moduli space of triangles being three dimensional, we prove existence two which are not isometric to each other for first, second and fourth Dirichlet eigenvalues coincide, establishing a numerical observation from Antunes–Freitas [1] . The far any known, explicit cases. To do so, develop new tools rigorously enclose very high precision, as well their position in spectrum. This result is also mentioned (the negative) part [36, Conjecture 6.46] , [23, Open Problem 1] [40, 3]

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2021

ISSN: ['1090-2732', '0022-0396']

DOI: https://doi.org/10.1016/j.jde.2020.11.002