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Bulletin of the London Mathematical Society Advance Access originally published online on March 18, 2009
Bulletin of the London Mathematical Society 2009 41(3):441-444; doi:10.1112/blms/bdp015
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© 2009 London Mathematical Society

The regular part of symmetric forms associated with second-order elliptic differential expressions

Hendrik Vogt

Fachrichtung Mathematik
Technische Universität Dresden
D-01062 Dresden
Germany

Received 17 April 2008. Revision received 30 October 2008.

Let {tau} be a (not necessarily closable) positive symmetric form associated with a second-order elliptic differential expression. We show that the regular part of {tau} (in the sense of B. Simon) can be obtained by modifying the coefficients of {tau} suitably; in particular, the regular part is again associated with a second-order elliptic differential expression.

2000 Mathematics Subject Classification 35J15, 47A07.


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