Asymptotics for mixed Dirichlet–Robin problems in irregular domains

We study the asymptotic behaviour of the solutions of two-dimensional elliptic problems with Robin boundary conditions on the “prefractal” curves approximating the Koch curve type fractals.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2010-02, Vol.362 (2), p.450-459
Main Author: Capitanelli, Raffaela
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fractals
Irregular interfaces
Mathematical analysis
Mathematics
Measure and integration
Mixed Dirichlet–Robin problems
Sciences and techniques of general use
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Description
Summary:We study the asymptotic behaviour of the solutions of two-dimensional elliptic problems with Robin boundary conditions on the “prefractal” curves approximating the Koch curve type fractals.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2009.09.042