Eigenvalues and eigenfunctions of one-dimensional fractal Laplacians defined by iterated function systems with overlaps

DOI10.1016/j.jmaa.2009.10.009zbMath1261.35095OpenAlexW1990249242MaRDI QIDQ847067

Sze-Man Ngai, Jie Chen

Publication date: 12 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.009

zbMATH Keywords

finite element methodeigenvalueseigenfunctionsself-similar measurefractal Laplacianiterated function system with overlapssecond-order self-similar identities

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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