The ``hot spots conjecture on higher dimensional Sierpinski gaskets

zbMath1331.28018MaRDI QIDQ905425

Huo-Jun Ruan, Xiao-Hui Li

Publication date: 19 January 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

eigenvalueeigenfunctionspectral decimationNeumann Laplacian``hot spots conjecturehigher dimensional Sierpinski gaskets

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (5)

AVERAGE GEODESIC DISTANCE OF SIERPINSKI GASKET AND SIERPINSKI NETWORKS ⋮ A counterexample to the ``hot spots conjecture on nested fractals ⋮ The ``hot spots conjecture on the Vicsek set ⋮ ECCENTRIC DISTANCE SUM OF SIERPIŃSKI GASKET AND SIERPIŃSKI NETWORK ⋮ DIRICHLET PROBLEM OF POISSON EQUATIONS ON A TYPE OF HIGHER-DIMENSIONAL FRACTAL SETS

Cites Work

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• Spectral decimation on Hambly's homogeneous hierarchical gaskets
• The ``hot spots conjecture for the Sierpiński gasket
• On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
• The hot spots problem in planar domains with on hole
• On a spectral analysis for the Sierpiński gasket.
• A counterexample to the ``hot spots conjecture
• On the ``hot spots conjecture of J. Rauch
• On eigenvalue problems for Laplacians on p.c.f. self-similar sets
• The ``hot spots conjecture on the level-3 Sierpiński gasket
• The resolvent kernel for PCF self-similar fractals
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces
• On Neumann eigenfunctions in lip domains
• The “hot spots” conjecture for domains with two axes of symmetry
• Vibration modes of 3n-gaskets and other fractals

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