Briane, Marc:
Non-Markovian quadratic forms obtained by homogenization
Bollettino dell'Unione Matematica Italiana Serie 8 6-B (2003), fasc. n.2, p. 323-337, Unione Matematica Italiana (English)
pdf (276 Kb), djvu (175 Kb). | MR1988208 | Zbl 1150.35009
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Questo articolo riguarda il comportamento asintotico delle forme quadratiche definite in $L^{2}$. Più precisamente consideriamo la $\Gamma$-convergenza di questi funzionali per la topologia debole di $L^{2}$. Noi diamo un esempio in cui certe forme limite non sono Markoviane e quindi la formula di Beurling-Deny non si applica. Questo esempio è ottenuto tramite l'omogeneizzazione di un materiale stratificato composto da strati sottili isolanti.
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Con il contributo del Ministero per i Beni e le Attività Culturali