We study second order transmission problems across either a fractal surface or across the corresponding pre-fractal surface. Existence uniqueness and regularity results for the strict solution in both cases are proved. The asymptotic behaviour of the solutions of the approximating problems is also investigated.
Parabolic transmission problems across irregular layers / Lancia, Maria Rosaria. - In: LE MATEMATICHE. - ISSN 0373-3505. - STAMPA. - LXII:(2007), pp. 271-287. (Intervento presentato al convegno International Symposium: Problemi attuali dell'analisi e della fisica matematica tenutosi a Taormina nel 29 giugno-1luglio 2006).
Parabolic transmission problems across irregular layers
LANCIA, Maria Rosaria
2007
Abstract
We study second order transmission problems across either a fractal surface or across the corresponding pre-fractal surface. Existence uniqueness and regularity results for the strict solution in both cases are proved. The asymptotic behaviour of the solutions of the approximating problems is also investigated.File allegati a questo prodotto
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