Article ID Journal Published Year Pages File Type
840188 Nonlinear Analysis: Theory, Methods & Applications 2013 9 Pages PDF
Abstract

In this paper, using spectral decimation, we prove that the “hot spots” conjecture holds on the level-3 Sierpinski gasket, i.e., every eigenfunction of the second-smallest eigenvalue of the Neumann Laplacian (introduced by J. Kigami) attains its maximum and minimum on the boundary.

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Physical Sciences and Engineering Engineering Engineering (General)
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The “hot spots” conjecture on the level-3 Sierpinski gasket
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