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math.APFeb 1, 2018
24
citations (OpenAlex)
authors
  • Chris Judge
  • Sugata Mondal
institutions
  • Indiana University
  • Indiana University Bloomington
  • Tata Institute of Fundamental Research
arXiv abstractPDF
paper

Euclidean Triangles Have No Hot Spots

arXiv:1802.01800 · doi:10.4007/annals.2020.191.1.3

Abstract

We show that a second Neumann eigenfunction u of a Euclidean triangle has no critical points in the interior of the triangle.

29 pages, 3 figures

Cited by in corpus (1)

  • Spectral bounds for exit times on metric measure Dirichlet spaces and applications
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