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September  2010, 9(5): 1221-1234. doi: 10.3934/cpaa.2010.9.1221

Robin boundary condition on scale irregular fractals

Raffaela Capitanelli 1,

1. 

Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università degli Studi di Roma “Sapienza”, Via A. Scarpa 16, 00161 Roma, Italy

Received  September 2009 Revised  November 2009 Published  May 2010

We consider mixed Dirichlet-Robin problems on scale irregular domains. In particular, we study the asymptotic convergence of the solutions of elliptic problems with Robin boundary conditions on the "prefractal" curves approximating the scale irregular fractals.
Keywords: irregular interfaces., fractals, Mixed Dirichlet-Robin problems.
Mathematics Subject Classification: Primary: 28A80, 35J25, 35A3.
Citation: Raffaela Capitanelli. Robin boundary condition on scale irregular fractals. Communications on Pure & Applied Analysis, 2010, 9 (5) : 1221-1234. doi: 10.3934/cpaa.2010.9.1221
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