English

The Dirichlet isospectral problem for trapezoids

Analysis of PDEs 2021-06-09 v1 Mathematical Physics Differential Geometry Dynamical Systems math.MP Spectral Theory

Abstract

We show that non-obtuse trapezoids are uniquely determined by their Dirichlet Laplace spectrum. This extends our previous result, which was only concerned with the Neumann Laplace spectrum.

Keywords

Cite

@article{arxiv.2009.00714,
  title  = {The Dirichlet isospectral problem for trapezoids},
  author = {Hamid Hezari and Zhiqin Lu and Julie Rowlett},
  journal= {arXiv preprint arXiv:2009.00714},
  year   = {2021}
}
R2 v1 2026-06-23T18:15:09.081Z