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Any three eigenvalues do not determine a triangle

  • Published:2021-02 Issue: Volume:275 Page:920-938
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Gómez-Serrano Javier,Orriols GerardORCID

Funder

Agència de Gestió d’Ajuts Universitaris i de Recerca

H2020 European Research Council

Directorate for Mathematical and Physical Sciences

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference59 articles.

1. On the inverse spectral problem for Euclidean triangles;Antunes;Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci.,2011

2. A meshfree numerical method for acoustic wave propagation problems in planar domains with corners and cracks;Antunes;J. Comput. Appl. Math.,2010

3. A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions;Ashbaugh;Ann. Math.,1992

4. Boundary quasi-orthogonality and sharp inclusion bounds for large Dirichlet eigenvalues;Barnett;SIAM J. Numer. Anal.,2011

5. Methods for computing lower bounds to eigenvalues of self-adjoint operators;Beattie;Numer. Math.,1995

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1. On the polygonal Faber-Krahn inequality;Journal de l’École polytechnique — Mathématiques;2023-12-21

2. Hearing the Triangles: A Numerical Perspective;CSIAM Transactions on Applied Mathematics;2023-11

3. A counterexample to Payne’s nodal line conjecture with few holes;Communications in Nonlinear Science and Numerical Simulation;2021-12
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