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The regular part of sectorial forms

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, The University of Auckland, Private bag 92019, Auckland, 1142, New Zealand

    A.F.M. ter Elst & Manfred Sauter

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  1. A.F.M. ter Elst
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  2. Manfred Sauter
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Correspondence to A.F.M. ter Elst.

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ter Elst, A., Sauter, M. The regular part of sectorial forms. J. Evol. Equ. 11, 907–924 (2011). https://doi.org/10.1007/s00028-011-0116-0

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  • DOI: https://doi.org/10.1007/s00028-011-0116-0

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