dc.contributor.author
Gómez Serrano, Javier
dc.contributor.author
Orriols, Gerard
dc.date.issued
2023-03-17T08:32:03Z
dc.date.issued
2023-03-17T08:32:03Z
dc.date.issued
2021-02-25
dc.date.issued
2023-03-17T08:32:03Z
dc.identifier
https://hdl.handle.net/2445/195443
dc.description.abstract
Despite the moduli space of triangles being three dimensional, we prove the existence of two triangles which are not isometric to each other for which the first, second and fourth Dirichlet eigenvalues coincide, establishing a numerical observation from Antunes-Freitas [1]. The two triangles are far from any known, explicit cases. To do so, we develop new tools to rigorously enclose eigenvalues to a very high precision, as well as their position in the spectrum. This result is also mentioned as (the negative) part of [35, Conjecture 6.46], [23, Open Problem 1] and [39, Conjecture 3].
dc.format
application/pdf
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1016/j.jde.2020.11.002
dc.relation
Journal of Differential Equations, 2021, vol. 275, p. 920-938
dc.relation
https://doi.org/10.1016/j.jde.2020.11.002
dc.rights
cc-by-nc-nd (c) Elsevier, 2021
dc.rights
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Varietats (Matemàtica)
dc.subject
Anàlisi global (Matemàtica)
dc.subject
Teoria espectral (Matemàtica)
dc.subject
Manifolds (Mathematics)
dc.subject
Global analysis (Mathematics)
dc.subject
Spectral theory (Mathematics)
dc.title
Any three eigenvalues do not determine a triangle
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
