Heat content determines planar triangles

DOI10.1090/proc/13397zbMath1367.58014arXiv1607.03351OpenAlexW2962728685WikidataQ114633863 ScholiaQ114633863MaRDI QIDQ2970087

Patrick McDonald, Reed Meyerson

Publication date: 27 March 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03351

zbMATH Keywords

spectral theoryheat contentexit time moments

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (2)

Heat flow in polygons with reflecting edges ⋮ Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian

Cites Work

• Unnamed Item
• Heat content asymptotics of a Riemannian manifold with boundary
• Heat flow and Brownian motion for a region in \({\mathbb{R}}^ 2\) with a polygonal boundary
• Dirichlet spectrum and heat content
• On the heat content of a polygon
• Heat Content, Heat Trace, and Isospectrality
• Hearing the Shape of a Triangle
• Heat Equation for a Region in R² with a Polygonal Boundary

This page was built for publication: Heat content determines planar triangles