Finite-monotonicity of eigenfunctions of the Laplacian on the Sierpinski Gasket

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Demir B., Dzhafarov V., Kocak S., Ureyen M.

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, vol.13, no.1, pp.1-7, 2005 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 13 Issue: 1
• Publication Date: 2005
• Doi Number: 10.1142/s0218348x05002702
• Journal Name: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1-7
• Keywords: Sierpinski Gasket, analysis on ractals, eigenfunctions of the Laplacian
• Anadolu University Affiliated: No

Abstract

We show that the restriction of an eigenfunction of the Laplacian on the Sierpinski Gasket (SG) to any segment inside the SG is monotone on finite pieces, i.e. there is a subdivision of the segment, such that the function is monotone on all subintervals.