The boundary behavior of heat kernels of Dirichlet Laplacians

Journal of Differential Equations

Volumn 182, Issue 2, 2002, Pages 416-430

  Zhang, Qi S ^a  

^a University of Memphis   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036647454     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2001.4112     Document Type: Article

References (16)

1. Non-negative solutions of linear parabolic equations
2. Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators
3. Sharp estimates for the Green function in Lipschitz domains
4. "Heat Kernels and Spectral Theory"
5. The equivalence of certain heat kernel and Green function bounds
6. Intrinsic ultracontractivity and the Dirichlet Laplacian
7. Ultracontractivity and heat kernels for Schrödinger operators and Dirichlet Laplacians
8. The Green function for uniformly elliptic equations
9. A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations
10. A new proof of Moser's parabolic Harnack inequality using the old idea of Nash
11. A Fatou theorem for the solution of the heat equations at the corner points of a cylinder
12. Linear and quasilinear equations of parabolic type
13. A Harnack inequality for parabolic differential equations
14. Uniformly elliptic operators on Riemannian manifolds
15. Estimates of Dirichlet heat kernels
16. Green's function for Schrödinger operators and continued Feynman-Kac gauge