We consider second order transmission problems across Koch-type curves formulated as boundary value problems for elliptic operators in a quasi-filling geometry for the fibers. We use a variational approach and the M-convergence methods. We prove that the solution of the transmission problem across a Koch-type curve is the limit of the solutions of suitable second order transmission problems across polygonal curves.;;
Quasi-filling fractal layers / Capitanelli, Raffaela; Vivaldi, Maria Agostina. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - STAMPA. - 26,N°4:(2015), pp. 465-473. [10.4171/RLM/716]
Quasi-filling fractal layers
CAPITANELLI, Raffaela;VIVALDI, Maria Agostina
2015
Abstract
We consider second order transmission problems across Koch-type curves formulated as boundary value problems for elliptic operators in a quasi-filling geometry for the fibers. We use a variational approach and the M-convergence methods. We prove that the solution of the transmission problem across a Koch-type curve is the limit of the solutions of suitable second order transmission problems across polygonal curves.;;| File | Dimensione | Formato | |
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