The regular part of sectorial forms

We study the regular part of a densely defined sectorial form, first in the abstract setting and then under mild conditions for a differential sectorial form. The regular part of the latter turns out to be again a differential sectorial form. Moreover, we characterize when taking the real part of a...

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Bibliographic Details
Published in:Journal of evolution equations 2011-12, Vol.11 (4), p.907-924
Main Authors: ter Elst, A.F.M., Sauter, Manfred
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
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Summary:We study the regular part of a densely defined sectorial form, first in the abstract setting and then under mild conditions for a differential sectorial form. The regular part of the latter turns out to be again a differential sectorial form. Moreover, we characterize when taking the real part of a differential sectorial form commutes with taking the regular part. An example shows that these two operations do not commute in general.
ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-011-0116-0