The search result changed since you submitted your search request. Documents might be displayed in a different sort order.
  • search hit 20 of 2276
Back to Result List

Riesz continuity of the Atiyah–Singer Dirac operator under perturbations of local boundary conditions

  • On a smooth complete Riemannian spin manifold with smooth compact boundary, we demonstrate that Atiyah-Singer Dirac operator in depends Riesz continuously on perturbations of local boundary conditions The Lipschitz bound for the map depends on Lipschitz smoothness and ellipticity of and bounds on Ricci curvature and its first derivatives as well as a lower bound on injectivity radius away from a compact neighbourhood of the boundary. More generally, we prove perturbation estimates for functional calculi of elliptic operators on manifolds with local boundary conditions.

Download full text files

  • pmnr758.pdfeng
    (2475KB)

    SHA-1: 81b8d374af714fd54dcfec5d542a45ed29a456c3

Export metadata

Additional Services

Search Google Scholar Statistics
Metadaten
Author details:Menaka Lashitha BandaraORCiD, Andreas RosénORCiD
URN:urn:nbn:de:kobv:517-opus4-434078
DOI:https://doi.org/10.25932/publishup-43407
ISSN:1866-8372
Title of parent work (English):Postprints der Universität Potsdam Mathematisch-Naturwissenschaftliche Reihe
Publication series (Volume number):Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (758)
Publication type:Postprint
Language:English
Date of first publication:2019/10/23
Publication year:2019
Publishing institution:Universität Potsdam
Release date:2019/10/23
Tag:Dirac operator; Riesz continuity; boundary value problems; functional calculus; real-variable harmonic analysis; spectral flow
Issue:758
Number of pages:33
First page:1253
Last Page:1284
Source:Communications in Partial Differential Equations 44 (2019) 12, S. 1253–1284 DOI: 10.1080/03605302.2019.1611847
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Peer review:Referiert
Publishing method:Open Access
License (German):License LogoCC-BY-NC-ND - Namensnennung, nicht kommerziell, keine Bearbeitungen 4.0 International
External remark:Bibliographieeintrag der Originalveröffentlichung/Quelle
Accept ✔
This website uses technically necessary session cookies. By continuing to use the website, you agree to this. You can find our privacy policy here.