We study the asymptotic behavior of a sequence of Dirichlet problems on varying domains for a Dirichlet form of diffusion on a locally compact Hausdorff space. The limit problem admits a characterization in terms of a Borel measure, which can be identified by using a suitable capacity associated with the Dirichlet form. (C) Elsevier, Paris.
Limits of variational problems for Dirichlet forms in varying domains / G., Dal Maso; DE CICCO, Virginia; L., Notarantonio; N. A., Tchou. - In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. - ISSN 0021-7824. - STAMPA. - 77:1(1998), pp. 89-116. [10.1016/s0021-7824(98)80066-4]
Limits of variational problems for Dirichlet forms in varying domains
DE CICCO, Virginia;
1998
Abstract
We study the asymptotic behavior of a sequence of Dirichlet problems on varying domains for a Dirichlet form of diffusion on a locally compact Hausdorff space. The limit problem admits a characterization in terms of a Borel measure, which can be identified by using a suitable capacity associated with the Dirichlet form. (C) Elsevier, Paris.File allegati a questo prodotto
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