Relaxation for Dirichlet Problems Involving a Dirichlet Form | Zendy

Marco Biroli | Zendy; Nicoletta Tchou | Zendy

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Relaxation for Dirichlet Problems Involving a Dirichlet Form

Author(s) -

Marco Biroli,

Nicoletta Tchou

Publication year - 2000

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/946

Subject(s) - dirichlet's principle , dirichlet's energy , relaxation (psychology) , dirichlet series , dirichlet kernel , dirichlet distribution , hierarchical dirichlet process , generalized dirichlet distribution , mathematics , dirichlet l function , dirichlet conditions , mathematical analysis , medicine , boundary value problem

For a fixed Dirichlet form, we study the space of positive Borel measures (possibly infinite) which do not charge polar sets. We prove the density in this space of the set of the measures which represent varying, domains. Our method is constructive. For the Laplace operator, the proof was based on a pavage of the space. Here, we substitute this notion by that of homogeneous covering in the sense of Coiffman and Weiss.

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