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The regular part of symmetric forms associated with second‐order elliptic differential expressions
Author(s) -
Vogt Hendrik
Publication year - 2009
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdp015
Subject(s) - mathematics , order (exchange) , differential (mechanical device) , expression (computer science) , pure mathematics , computer science , physics , finance , economics , thermodynamics , programming language
Let τ be a (not necessarily closable) positive symmetric form associated with a second‐order elliptic differential expression. We show that the regular part of τ (in the sense of B. Simon) can be obtained by modifying the coefficients of τ suitably; in particular, the regular part is again associated with a second‐order elliptic differential expression.