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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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
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Analysis
Mathematics
Mathematics and Statistics
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description 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.
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subjects Analysis
Mathematics
Mathematics and Statistics
title The regular part of sectorial forms
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