A new proof of the bound for the first Dirichlet eigenvalue of the Laplacian operator.
- Resource Type
- Article
- Authors
- Li, Chang-Jun; Gao, Xiang
- Source
- Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica. 2014, Vol. 22 Issue 2, p129-140. 12p.
- Subject
- *DIRICHLET problem
*EIGENVALUES
*LAPLACIAN operator
*MANIFOLDS (Mathematics)
*HEAT equation
- Language
- ISSN
- 1224-1784
In this paper, we present a new proof of the upper and lower bound estimates for the first Dirichlet eigenvalue of Laplacian operator for the manifold with Ricci curvature Rc ≥ −K, by using Li-Yau's gradient estimate for the heat equation. [ABSTRACT FROM AUTHOR]