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References (13)
-
Elton Hsu (2002)
Multiplicative functional for the heat equation on manifolds with boundaryMichigan Mathematical Journal, 50
-
H. Donnelly, Peter Li (1982)
Lower bounds for the eigenvalues of Riemannian manifolds.Michigan Mathematical Journal, 29
-
(1976)
Pertubations singuliéres et solutions stochastiques de problémes de D -
(1976)
Heat equation and diffusion on Riemannian manifold with boundary -
D. Ray, I. Singer (1971)
R-Torsion and the Laplacian on Riemannian manifoldsAdvances in Mathematics, 7
-
L. Rogers (1982)
Stochastic differential equations and diffusion processes: Nobuyuki Ikeda and Shinzo Watanabe North-Holland, Amsterdam, 1981, xiv + 464 pages, Dfl.175.00European Journal of Operational Research, 10
-
(1989)
Stochastic differential equations and diffusion processes, 2nd ed -
I. Shigekawa (2000)
Semigroup Domination on a Riemannian Manifold with BoundaryActa Applicandae Mathematica, 63
-
池田 信行, 渡辺 信三 (1981)
Stochastic differential equations and diffusion processes -
Y. Gliklikh (2011)
Stochastic Analysis on Manifolds -
Feng-Yu Wang (2013)
Analysis for Diffusion Processes on Riemannian Manifolds -
(1976)
Pertubations singuliéres et solutions stochastiques de problémes de D.Neumann-Spencer -
(2002)
Stochastic Analysis on Manifolds, Graduate Series in Mathematics, volume
- Publisher
- Springer International Publishing
- Copyright
- © Springer International Publishing AG 2017
- ISBN
- 978-3-319-59670-9
- Pages
- 67 –83
- DOI
- 10.1007/978-3-319-59671-6_3
- Publisher site
- See Chapter on Publisher Site
Abstract
[The multiplicative functional for the heat equation on k-forms with absolute boundary condition is constructed and a probabilistic representation of the solution is obtained. As an application, we prove a heat kernel domination that was previously discussed by Donnelly and Li, and Shigekawa.]
Published: Sep 27, 2017
Keywords: Absolute boundary condition; Gradient inequality; Heat kernel domination; Hodge-de Rham Laplacian; Riemannian manifold with boundary