Publikation:

Elliptic operators with non-local Wentzell–Robin boundary conditions

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Datum

2026

Autor:innen

Mui, Jonathan

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https://doi.org/10.4171/jst/595
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Deutsche Forschungsgemeinschaft (DFG): 5153-94002
Deutsche Forschungsgemeinschaft (DFG): 258734477, SFB 1173

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Open Access-Veröffentlichung
Open Access Gold

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Mathematik und Statistik: Publikationen
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Journal of Spectral Theory. EMS Press. 2026, 16(1), S. 197-242. ISSN 1664-039X. eISSN 1664-0403. Verfügbar unter: doi: 10.4171/jst/595

Zusammenfassung

This article is concerned with strictly elliptic, second-order differential operators on a bounded Lipschitz domain in Rd subject to certain non-local Wentzell–Robin boundary conditions. We prove that such operators generate strongly continuous semigroups on L2-spaces and on spaces of continuous functions. We also provide a characterization of positivity and (sub-)Markovianity of these semigroups. Moreover, based on spectral analysis of these operators, we discuss further properties of the semigroup such as asymptotic behavior and, in the case of a non-positive semigroup, the weaker notion of eventual positivity of the semigroup.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

non-local boundary condition, Lipschitz boundary, Wentzell–Robin boundary conditions, analytic semigroup, (eventual) positivity, (sub-)Markovian semigroup.

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ISO 690KUNZE, Markus, Jonathan MUI, David PLOSS, 2026. Elliptic operators with non-local Wentzell–Robin boundary conditions. In: Journal of Spectral Theory. EMS Press. 2026, 16(1), S. 197-242. ISSN 1664-039X. eISSN 1664-0403. Verfügbar unter: doi: 10.4171/jst/595
BibTex
@article{Kunze2026-02-05Ellip-76236,
  title={Elliptic operators with non-local Wentzell–Robin boundary conditions},
  year={2026},
  doi={10.4171/jst/595},
  number={1},
  volume={16},
  issn={1664-039X},
  journal={Journal of Spectral Theory},
  pages={197--242},
  author={Kunze, Markus and Mui, Jonathan and Ploss, David}
}
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