Domination of semigroups generated by regular forms

Arora, Sahiba; Chill, Ralph; Djida, Jean-Daniel

doi:10.1090/proc/16702

Domination of semigroups generated by regular forms
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by Sahiba Arora, Ralph Chill and Jean-Daniel Djida;

Proc. Amer. Math. Soc. 152 (2024), 2117-2129

DOI: https://doi.org/10.1090/proc/16702

Published electronically: March 14, 2024

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Abstract:

We give a representation for regular forms associated with dominated $C_0$-semigroups which, in turn, characterizes the domination of $C_0$-semigroups associated with regular forms. In addition, we prove a relationship between the positivity of (dominated) $C_0$-semigroups and the locality of the associated forms.

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