Eigenvalue estimates on bakry–Émery manifolds
Ημερομηνία
2015Συγγραφέας
Charalambous, N.Lu, Z.
Rowlett, J.
ISBN
978-3-319-12546-6Εκδότης
Springer VerlagSource
Springer Proceedings in MathematicsInternational Workshop on Elliptic and Parabolic Equations, 2013
Volume
119Pages
45-61Google Scholar check
Keyword(s):
Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
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. © Springer International Publishing Switzerland 2015.