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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

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.
References
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Bibliographic Information
  • Sahiba Arora
  • Affiliation: Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
  • MR Author ID: 1472176
  • ORCID: 0000-0003-1973-8358
  • Email: s.arora-1@utwente.nl
  • Ralph Chill
  • Affiliation: Institut für Analysis, Fakultät Mathematik, TU Dresden, 01062 Dresden, Germany
  • MR Author ID: 628534
  • ORCID: 0000-0002-6854-0586
  • Email: ralph.chill@tu-dresden.de
  • Jean-Daniel Djida
  • Affiliation: Department Mathematic, Lehrstuhl fur Dynamics, Control, Machine Learning and Numerics, Friedrich-Alexander-Universitat Erlangen-Nurnberg (FAU), Cauerstr. 11, 91058 Erlangen, Germany
  • MR Author ID: 1112241
  • Email: jean-daniel.djida@fau.de
  • Received by editor(s): April 18, 2023
  • Received by editor(s) in revised form: April 20, 2023, September 5, 2023, and October 11, 2023
  • Published electronically: March 14, 2024
  • Additional Notes: The first and the third authors were supported by Deutscher Akademischer Austauschdienst.
  • Communicated by: Nageswari Shanmugalingam
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 152 (2024), 2117-2129
  • MSC (2020): Primary 47D03, 31C15
  • DOI: https://doi.org/10.1090/proc/16702
  • MathSciNet review: 4728477