Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds, Stochastic Processes and their Applications, vol.119, issue.10, pp.3653-3670, 2009. ,
DOI : 10.1016/j.spa.2009.07.001
URL : https://doi.org/10.1016/j.spa.2009.07.001
Stochastic Analysis on Manifolds, Graduate Studies in Mathematics 38, 2002. ,
Applications of Laplacian and Hessian comparison theorems, Adv. Stud. Pure Math, vol.3, pp.333-386, 1984. ,
DOI : 10.3792/pjaa.58.25
URL : http://doi.org/10.3792/pjaa.58.25
The Radial Part of Brownian Motion on a Manifold: A Semimartingale Property, The Annals of Probability, vol.15, issue.4, pp.1491-1500, 1987. ,
DOI : 10.1214/aop/1176991988
Xin, Gradient estimate of a Dirichlet eigenfunction on a compact manifold with boundary, Forum Math, vol.25, pp.229-240, 2013. ,
Gradient Estimates for Harmonic Functions on Regular Domains in Riemannian Manifolds, Journal of Functional Analysis, vol.155, issue.1, pp.109-124, 1998. ,
DOI : 10.1006/jfan.1997.3220
Estimates of the first Dirichlet eigenvalue by using diffusion processes, Probability Theory and Related Fields, vol.98, issue.3, pp.363-369, 1995. ,
DOI : 10.1007/BF01200501
Gradient estimates and the first Neumann eigenvalue on manifolds with boundary, Stochastic Processes and their Applications, vol.115, issue.9, pp.1475-1486, 2005. ,
DOI : 10.1016/j.spa.2005.04.004
Analysis for Diffusion Processes on Riemannian Manifolds, World Scientific, vol.18, 2014. ,
DOI : 10.1142/8737