On the parabolic kernel of the Schrödinger operator

Acta Mathematica

Volumn 156, Issue 1, 1986, Pages 153-201

  Li, Peter ^a   Yau, Shing Tung ^b  

^a UNIVERSITY OF UTAH   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000324115     PISSN: 00015962     EISSN: 18712509     Source Type: Journal    
DOI: 10.1007/BF02399203     Document Type: Article

References (27)

1. Uniqueness of positive weak solutions of second order parabolic equations
2. Behavior of diffusion semi-groups at infinity
3. The splitting theorem for manifolds of nonnegative Ricci curvature
4. Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
5. A lower bound for the heat kernel
6. On the upper estimate of the heat kernel of a complete Riemannian manifold
7. Differential equations on Riemannian manifolds and their geometric applications
8. Lower bounds for the eigenvalues of Riemannian manifolds
9. The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
10. On the uniqueness of the Cauchy problem for parabolic equations
11. Opérateur de courbure et Laplacien des formes différentielles d'une variété Riemannienne
12. Curvature, diameter, and Betti numbers
13. Estimates of eigenvalues of a compact Riemannian manifold
14. Un lemme de géométrie Hilbertienne et des applications à la géométrie Riemannienne
15. Sur les hypersurfaces minimales des variétés Riemanniennes a courbure de Ricci positive ou nulle
16. A Harnack inequality for parabolic equations
17. A uniqueness theorem for the parabolic equation u1= a(x)uxx+ b(x)ux+ c(x)u
18. Instantons, double wells and large deviations
19. The Poisson kernel on positively curved manifolds
20. Green's functions on positively curved manifolds
21. Positive temperature on the infinite rod
22. Harmonic functions on complete Riemannian manifolds
23. Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry