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Volumn 74, Issue 2, 1998, Pages 217-234

Estimates of Dirichlet heat kernels

Author keywords

58G11; 60H10; Diffusion process; Dirichlet heat kernel; Gradient estimate; Harnack inequality

Indexed keywords


EID: 0009912731     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0304-4149(97)00108-7     Document Type: Article
Times cited : (4)

References (21)
  • 1
    • 0030533361 scopus 로고    scopus 로고
    • Lévy-Gromov's isoperimetric inequality for infinite dimensional diffusion generator
    • Bakry D., Ledoux M. Lévy-Gromov's isoperimetric inequality for infinite dimensional diffusion generator. Invent. Math. 123:1996;259-281.
    • (1996) Invent. Math. , vol.123 , pp. 259-281
    • Bakry, D.1    Ledoux, M.2
  • 2
    • 84950745986 scopus 로고
    • Le Spectre d'une variété Riemannienne.
    • Springer, New York.
    • Berg, M., Gauduchon, P., Mazet, E., 1971. Le Spectre d'une variété Riemannienne. Lecture Notes in Math. vol. 194. Springer, New York.
    • (1971) Lecture Notes in Math. , vol.194
    • Berg, M.1    Gauduchon, P.2    Mazet, E.3
  • 5
    • 0000424558 scopus 로고
    • Grandient estimates on manifolds using coupling
    • Cranston M. Grandient estimates on manifolds using coupling. J. Funct. Anal. 99:1991;110-124.
    • (1991) J. Funct. Anal. , vol.99 , pp. 110-124
    • Cranston, M.1
  • 7
    • 0000031706 scopus 로고
    • Formulae for the derivatives of heat semigroups
    • Elworthy K.D., Li X.M. Formulae for the derivatives of heat semigroups. J. Funct. Anal. 125:1994;252-286.
    • (1994) J. Funct. Anal. , vol.125 , pp. 252-286
    • Elworthy, K.D.1    Li, X.M.2
  • 9
    • 0000418027 scopus 로고
    • The radial part of Brownian motion on a manifold: A semi-martingale property.
    • Kendall, W.S., 1987. The radial part of Brownian motion on a manifold: a semi-martingale property. Ann. Probab. 15, 1491-1500.
    • (1987) Ann. Probab. , vol.15 , pp. 1491-1500
    • Kendall, W.S.1
  • 10
    • 0000301552 scopus 로고
    • Nonnegative Ricci curvature and the Brownian coupling property
    • Kendall W.S. Nonnegative Ricci curvature and the Brownian coupling property, Stochastics. 19:1986;111-129.
    • (1986) Stochastics. , vol.19 , pp. 111-129
    • Kendall, W.S.1
  • 11
    • 0000324115 scopus 로고
    • On the parabolic heat kernel of the Schrödinger operator
    • Li P., Yau S.T. On the parabolic heat kernel of the Schrödinger operator. Acta. Math. 156:1986;153-201.
    • (1986) Acta. Math. , vol.156 , pp. 153-201
    • Li, P.1    Yau, S.T.2
  • 12
    • 0039355447 scopus 로고
    • Gradient estimates and heat kernel estimates.
    • Qian, Z., 1995. Gradient estimates and heat kernel estimates. Proc. Roy. Soc. Edinburgh, 125A, 975-990.
    • (1995) Proc. Roy. Soc. Edinburgh , vol.125 A , pp. 975-990
    • Qian, Z.1
  • 13
    • 0005523249 scopus 로고
    • Gaussian estimates for the heat kernel of the weighted Laplacian and fractal measures
    • Setti A.G. Gaussian estimates for the heat kernel of the weighted Laplacian and fractal measures. Canad. J. Math. 44:1992;1061-1078.
    • (1992) Canad. J. Math. , vol.44 , pp. 1061-1078
    • Setti, A.G.1
  • 14
    • 0000189968 scopus 로고
    • Some estimates of the transition density of a nondegenerate diffusion Markov process
    • Sheu S.J. Some estimates of the transition density of a nondegenerate diffusion Markov process. Ann. Probab. 19:1991;538-561.
    • (1991) Ann. Probab. , vol.19 , pp. 538-561
    • Sheu, S.J.1
  • 15
    • 0001214262 scopus 로고
    • An estimate of the gap of the first two eigenvalues in the Schrödinger operator
    • Singer M., Wong B., Yau S.T., Yau S.S.T. An estimate of the gap of the first two eigenvalues in the Schrödinger operator. Ann. Scuola Norm. Sup. Pisa. ser. IV, 12(2):1985;319-333.
    • (1985) Ann. Scuola Norm. Sup. Pisa. Ser. IV , vol.12 , Issue.2 , pp. 319-333
    • Singer, M.1    Wong, B.2    Yau, S.T.3    Yau, S.S.T.4
  • 17
    • 0040571865 scopus 로고    scopus 로고
    • Gradient estimates for harmonic functions on regular domains in Riemannian manifolds
    • to appear.
    • Thalmaier, A., Wang, F.Y., 1996. Gradient estimates for harmonic functions on regular domains in Riemannian manifolds, J. Funct. Anal., to appear.
    • (1996) J. Funct. Anal.
    • Thalmaier, A.1    Wang, F.Y.2
  • 18
    • 21844523092 scopus 로고
    • Estimates of the first Dirichlet eigenvalue by using diffusion processes
    • Wang F.Y. Estimates of the first Dirichlet eigenvalue by using diffusion processes. Probab. Theory Relat. Fields. 101:1995;363-369.
    • (1995) Probab. Theory Relat. Fields , vol.101 , pp. 363-369
    • Wang, F.Y.1
  • 19
    • 0039938081 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequalities for diffusion processes with application to path space
    • Wang F.Y. Logarithmic Sobolev inequalities for diffusion processes with application to path space. Chinese J. Appl. Probab. Stat. 12(3):1996;255-264.
    • (1996) Chinese J. Appl. Probab. Stat. , vol.12 , Issue.3 , pp. 255-264
    • Wang, F.Y.1
  • 20
    • 0039979024 scopus 로고    scopus 로고
    • Sharp explicit lower bounds of heat kernels.
    • to appear.
    • Wang, F.Y. 1996. Sharp explicit lower bounds of heat kernels. Ann. Probab., to appear.
    • (1996) Ann. Probab.
    • Wang, F.Y.1
  • 21
    • 0010788189 scopus 로고
    • Harnack inequality for non-self-adjoint evolution equations
    • Yau S.T. Harnack inequality for non-self-adjoint evolution equations. Math. Research Letters. 2:1995;387-399.
    • (1995) Math. Research Letters , vol.2 , pp. 387-399
    • Yau, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.