Eigenvalue Estimates on Bakry–Émery Manifolds
Paper in proceedings, 2015

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.

Author

N. Charalambous

University of Cyprus

Z. Lu

University of California at Irvine (UCI)

Julie Rowlett

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Springer Proceedings in Mathematics. International Workshop on Elliptic and Parabolic Equations, 2013, Hannover, Germany, 10-12 September 2013

2190-5622 (eISSN)

Vol. 119 45-61

Subject Categories

Mathematical Analysis

DOI

10.1007/978-3-319-12547-3_2

ISBN

978-3-319-12546-6

More information

Latest update

3/5/2018 7