Eigenfunctions of the Koch snowflake domain
type: Item
instance of: scholarly article
title: Eigenfunctions of the Koch snowflake domain
zbMATH Open document ID: 0857.35093
DOI: 10.1007/BF02099432
author: Michel L. Lapidus
author: M. M. H. Pang
published in: Communications in Mathematical Physics
publication date: 1997-03-09T00:00:00Z
review text: The paper presents estimates for the Dirichlet eigenfunction and their gradients for a class of two-dimensional domains with fractal boundaries. This class includes bounded simply connected John domains, and the special case when a domain is bounded by the Koch snowflake curve. The physical applications are the analysis of damping of waves by fractal coastlines.
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 850569
zbMATH Keywords: estimates for the Dirichlet eigenfunction
zbMATH Keywords: fractal boundaries
reviewed by: Alexander B. Movchan
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02099432
OpenAlex ID: W2140413564
description: scientific article; zbMATH DE number 850569