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FINITE-MONOTONICITY OF EIGENFUNCTIONS OF THE LAPLACIAN ON THE SIERPINSKI GASKET

BÜNYAMİN DEMİR

Department of Mathematics, Anadolu University, Yunusemre Kampusü, 26470 Eskisehir, Turkey

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VAKIF DZHAFAROV

Department of Mathematics, Anadolu University, Yunusemre Kampusü, 26470 Eskisehir, Turkey

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ŞAHİN KOÇAK

Department of Mathematics, Anadolu University, Yunusemre Kampusü, 26470 Eskisehir, Turkey

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MEHMET ÜREYEN

Department of Mathematics, Anadolu University, Yunusemre Kampusü, 26470 Eskisehir, Turkey

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https://doi.org/10.1142/S0218348X05002702Cited by:0 (Source: Crossref)

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.

Keywords:

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