Elliptic operators with non-local Wentzell–Robin boundary conditions

Kurzanzeige
dc.contributor.authorKunze, Markus
dc.contributor.authorMui, Jonathan
dc.contributor.authorPloss, David
dc.date.accessioned2026-02-19T11:45:49Z
dc.date.available2026-02-19T11:45:49Z
dc.date.issued2026-02-05
dc.description.abstractThis 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.
dc.description.versionpublisheddeu
dc.identifier.doi10.4171/jst/595
dc.identifier.ppn1965647146
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/76236
dc.language.isoeng
dc.rightsterms-of-use
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectnon-local boundary condition
dc.subjectLipschitz boundary
dc.subjectWentzell–Robin boundary conditions
dc.subjectanalytic semigroup
dc.subject(eventual) positivity
dc.subject(sub-)Markovian semigroup.
dc.subject.ddc510
dc.titleElliptic operators with non-local Wentzell–Robin boundary conditionseng
dc.typeJOURNAL_ARTICLE
dspace.entity.typePublication
kops.citation.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}
}
kops.citation.iso690KUNZE, 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/595deu
kops.citation.iso690KUNZE, 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), pp. 197-242. ISSN 1664-039X. eISSN 1664-0403. Available under: doi: 10.4171/jst/595eng
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kops.sourcefield.plainJournal of Spectral Theory. EMS Press. 2026, 16(1), pp. 197-242. ISSN 1664-039X. eISSN 1664-0403. Available under: doi: 10.4171/jst/595eng
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