Robin boundary condition on scale irregular fractals

Raffaela Capitanelli

doi:10.3934/cpaa.2010.9.1221

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2010, Volume 9, Issue 5: 1221-1234. Doi: 10.3934/cpaa.2010.9.1221

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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

Received: August 31, 2009

Revised: October 31, 2009

Published: August 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 28A80, 35J25, 35A35.

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