The Dirichlet isospectral problem for trapezoids

The Dirichlet isospectral problem for trapezoids

We show that non-obtuse trapezoids are uniquely determined by their Dirichlet Laplace spectrum. This extends our previous result [Hezari et al., Ann. Henri Poincare 18(12), 3759–3792 (2017)], which was only concerned with the Neumann Laplace spectrum.

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Veröffentlicht in:Journal of mathematical physics 2021-05, Vol.62 (5), Article Paper No. 051511, 13
Hauptverfasser: Hezari, Hamid, Lu, Z., Rowlett, J.
Format: Artikel
Sprache:eng
Schlagworte:
billiards
Dirichlet problem
formula
hear
Matematik
Mathematical sciences
Physics
plane domains
shape
spectral rigidity
Trapezoids
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Beschreibung
Zusammenfassung:We show that non-obtuse trapezoids are uniquely determined by their Dirichlet Laplace spectrum. This extends our previous result [Hezari et al., Ann. Henri Poincare 18(12), 3759–3792 (2017)], which was only concerned with the Neumann Laplace spectrum.
ISSN:0022-2488
1089-7658
1089-7658
DOI:10.1063/5.0036384