Non-Markovian quadratic forms obtained by homogenization
Briane, Marc
Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003), p. 323-337 / Harvested from Biblioteca Digitale Italiana di Matematica
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This paper is devoted to the asymptotic behaviour of quadratic forms defined on L2. More precisely we consider the Γ-convergence of these functionals for the L2-weak topology. We give an example in which some limit forms are not Markovian and hence the Beurling-Deny representation formula does not hold. This example is obtained by the homogenization of a stratified medium composed of insulating thin-layers.

Questo articolo riguarda il comportamento asintotico delle forme quadratiche definite in L2. Più precisamente consideriamo la Γ-convergenza di questi funzionali per la topologia debole di L2. 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.

Publié le : 2003-06-01
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     author = {Marc Briane},
     title = {Non-Markovian quadratic forms obtained by homogenization},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {6-A},
     year = {2003},
     pages = {323-337},
     zbl = {1150.35009},
     mrnumber = {1988208},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2003_8_6B_2_323_0}
}

Briane, Marc. Non-Markovian quadratic forms obtained by homogenization. Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003) pp. 323-337. http://gdmltest.u-ga.fr/item/BUMI_2003_8_6B_2_323_0/

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