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


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

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, cilt.13, sa.1, ss.1-7, 2005 (SCI-Expanded) identifier identifier

Özet

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.