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Eigenvalue Estimates on Bakry–Émery Manifolds

N. Charalambous ; Z. Lu ; Julie Rowlett (Institutionen för matematiska vetenskaper, matematik)
Springer Proceedings in Mathematics. International Workshop on Elliptic and Parabolic Equations, 2013, Hannover, Germany, 10-12 September 2013 (2190-5614). Vol. 119 (2015), p. 45-61.
[Konferensbidrag, refereegranskat]

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.



Denna post skapades 2015-07-07. Senast ändrad 2016-09-22.
CPL Pubid: 219533

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematisk analys

Chalmers infrastruktur