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  • Charalambous, N.University of Cyprus (author)

Eigenvalue Estimates on Bakry–Émery Manifolds

  • Article/chapterEnglish2015

Publisher, publication year, extent ...

  • 2015-06-05
  • Cham :Springer International Publishing,2015

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  • LIBRIS-ID:oai:gup.ub.gu.se/219533
  • ISBN:9783319125466
  • https://gup.ub.gu.se/publication/219533URI
  • https://doi.org/10.1007/978-3-319-12547-3_2DOI
  • https://research.chalmers.se/publication/219533URI

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  • Language:English

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  • Subject category:ref swepub-contenttype
  • Subject category:kon swepub-publicationtype

Notes

  • We demonstrate lower bounds for the eigenvalues of compact Bakry– Émery manifolds with and without boundary. The lower bounds for the first eigenvalue rely on a generalized maximum principle which allows gradient estimates in the Riemannian setting to be directly applied to the Bakry–Émery setting. Lower bounds for all eigenvalues are demonstrated using heat kernel estimates and a suitable Sobolev inequality.

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Added entries (persons, corporate bodies, meetings, titles ...)

  • Lu, Z.University of California at Irvine (UCI) (author)
  • Rowlett, Julie,1978Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)rowlett (author)
  • University of CyprusUniversity of California at Irvine (UCI) (creator_code:org_t)

Related titles

  • In:Springer Proceedings in Mathematics. International Workshop on Elliptic and Parabolic Equations, 2013, Hannover, Germany, 10-12 September 2013Cham : Springer International Publishing119, s. 45-612190-56142190-56222194-10172194-10099783319125466

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