The 'hot spots' conjecture  on higher dimensional Sierpinski gaskets

Xiao-Hui  Li; Huo-Jun  Ruan

doi:10.3934/cpaa.2016.15.287

Article Contents

2016, Volume 15, Issue 1: 287-297. Doi: 10.3934/cpaa.2016.15.287

This issue Previous Article Blow-up scaling and global behaviour of solutions of the bi-Laplace equation via pencil operators Next Article

The "hot spots" conjecture on higher dimensional Sierpinski gaskets

Xiao-Hui Li^1, and
Huo-Jun Ruan^1,

1.
School of Mathematical Science, Zhejiang University, Hangzhou, 310027

Received: March 31, 2015

Revised: August 31, 2015

Published: December 2015

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Abstract

In this paper, using spectral decimation, we prove that the ``hot spots" conjecture holds on higher dimensional Sierpinski gaskets.

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Mathematics Subject Classification: Primary: 28A80, 47A75; Secondary: 39A70, 47B39.

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