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Volumn 52, Issue 2, 2008, Pages 209-236

Estimates of densities of stationary distributions and transition probabilities of diffusion processes

Author keywords

Harnack inequality; Lower bounds for solutions to parabolic equations; Stationary distribution; Transition probabilities

Indexed keywords


EID: 47849102750     PISSN: 0040585X     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0040585X97982967     Document Type: Article
Times cited : (18)

References (23)
  • 1
    • 53249085341 scopus 로고
    • Regularity of invariant measures on finite- and infinite-dimensional spaces and applications
    • V. I. BOGACHEV AND M. RÖCKNER, Regularity of invariant measures on finite- and infinite-dimensional spaces and applications, J. Funct. Anal., 133 (1995), pp. 168-223.
    • (1995) J. Funct. Anal , vol.133 , pp. 168-223
    • BOGACHEV, V.I.1    RÖCKNER, M.2
  • 2
    • 0030600930 scopus 로고    scopus 로고
    • Regularity of invariant measures: The case of nonconstant diffusion part
    • V. I. BOGACHEV. N. V. KRYLOV, AND M. RÖCKNER, Regularity of invariant measures: The case of nonconstant diffusion part, J. Funct. Anal., 138 (1996), pp. 223-242.
    • (1996) J. Funct. Anal , vol.138 , pp. 223-242
    • BOGACHEV, V.I.1    KRYLOV, N.V.2    RÖCKNER, M.3
  • 3
    • 0034562601 scopus 로고    scopus 로고
    • A generalization of Kasminskii's theorem on the existence of invariant measures for locally integrable drifts
    • V. I. BOGACHEV AND M. RÖCKNER, A generalization of Kasminskii's theorem on the existence of invariant measures for locally integrable drifts, Theory Probab. Appl., 45 (2001), pp. 363-378.
    • (2001) Theory Probab. Appl , vol.45 , pp. 363-378
    • BOGACHEV, V.I.1    RÖCKNER, M.2
  • 4
    • 0041027330 scopus 로고    scopus 로고
    • Differentiability of invariant measures and transition probabilities of singular diffusions
    • V. I. BOGACHEV, N. V. KRYLOV, AND M. RÖCKNER, Differentiability of invariant measures and transition probabilities of singular diffusions, Dokl. Math., 63 (2001), pp. 18-21.
    • (2001) Dokl. Math , vol.63 , pp. 18-21
    • BOGACHEV, V.I.1    KRYLOV, N.V.2    RÖCKNER, M.3
  • 5
    • 0035285363 scopus 로고    scopus 로고
    • Elliptic equations for invariant measures on finite and infinite dimensional manifolds
    • V. I. BOGACHEV, M. RÖCKNER, AND F.-Y. WANG, Elliptic equations for invariant measures on finite and infinite dimensional manifolds, J. Math. Pures Appl., 80 (2001), pp. 177-221.
    • (2001) J. Math. Pures Appl , vol.80 , pp. 177-221
    • BOGACHEV, V.I.1    RÖCKNER, M.2    WANG, F.-Y.3
  • 6
    • 3242720761 scopus 로고    scopus 로고
    • On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions
    • V. I. BOGACHEV, N. V. KRYLOV, AND M. RÖCKNER, On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions, Comm. Partial Differential Equations, 26 (2001), pp. 2037-2080.
    • (2001) Comm. Partial Differential Equations , vol.26 , pp. 2037-2080
    • BOGACHEV, V.I.1    KRYLOV, N.V.2    RÖCKNER, M.3
  • 7
    • 0036662252 scopus 로고    scopus 로고
    • Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions
    • V. I. BOGACHEV, M. RÖCKNER, AND W. STANNAT, Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions, Sbornik Math., 193 (2002), pp. 945-976.
    • (2002) Sbornik Math , vol.193 , pp. 945-976
    • BOGACHEV, V.I.1    RÖCKNER, M.2    STANNAT, W.3
  • 8
    • 2442644100 scopus 로고    scopus 로고
    • Existence of solutions to weak parabolic equations for measures
    • V. I. BOGACHEV, G. DA PRATO, AND M. RÖCKNER, Existence of solutions to weak parabolic equations for measures, Proc. London Math. Soc., 88 (2004), pp. 753-774.
    • (2004) Proc. London Math. Soc , vol.88 , pp. 753-774
    • BOGACHEV, V.I.1    DA PRATO, G.2    RÖCKNER, M.3
  • 9
    • 33645029340 scopus 로고    scopus 로고
    • Regularity and global bounds for the densities of invariant measures of diffusion processes
    • V. I. BOGACHEV, N. V. KRYLOV, AND M. RÖCKNER, Regularity and global bounds for the densities of invariant measures of diffusion processes, Dokl. Math., 72 (2005), pp. 934-938.
    • (2005) Dokl. Math , vol.72 , pp. 934-938
    • BOGACHEV, V.I.1    KRYLOV, N.V.2    RÖCKNER, M.3
  • 10
    • 33846384616 scopus 로고    scopus 로고
    • Global regularity and bounds for solutions of parabolic equations for probability measures
    • V. I. BOGACHEV, M. RÖCKNER, AND S. V. SHAPOSHNIKOV, Global regularity and bounds for solutions of parabolic equations for probability measures, Theory Probab. Appl., 50 (2006), pp. 561-581.
    • (2006) Theory Probab. Appl , vol.50 , pp. 561-581
    • BOGACHEV, V.I.1    RÖCKNER, M.2    SHAPOSHNIKOV, S.V.3
  • 11
    • 33744917013 scopus 로고    scopus 로고
    • Elliptic equations for measures: Regularity and global bounds of densities
    • V. I. BOGACHEV, N. V. KRYLOV, AND M. RÖCKNER, Elliptic equations for measures: Regularity and global bounds of densities, J. Math. Pures Appl., 85 (2006), pp. 743-757.
    • (2006) J. Math. Pures Appl , vol.85 , pp. 743-757
    • BOGACHEV, V.I.1    KRYLOV, N.V.2    RÖCKNER, M.3
  • 12
    • 18544380686 scopus 로고    scopus 로고
    • Global properties of invariant measures
    • G. METAFUNE, D. PALLARA, AND A. RHANDI, Global properties of invariant measures, J. Funct. Anal., 223 (2005), pp. 396-424.
    • (2005) J. Funct. Anal , vol.223 , pp. 396-424
    • METAFUNE, G.1    PALLARA, D.2    RHANDI, A.3
  • 14
    • 33646009699 scopus 로고    scopus 로고
    • On Morrey's estimate for the Sobolev norms of solutions of elliptic equations
    • S. V. SHAPOSHNIKOV, On Morrey's estimate for the Sobolev norms of solutions of elliptic equations, Math. Notes, 79 (2006), pp. 413-430.
    • (2006) Math. Notes , vol.79 , pp. 413-430
    • SHAPOSHNIKOV, S.V.1
  • 15
    • 5844405026 scopus 로고
    • Holder regularity in variational parabolic nonhomogeneous equations
    • A. LUNARDI AND V. VESPRI, Holder regularity in variational parabolic nonhomogeneous equations, J. Differential Equations, 94 (1991), pp. 1-40.
    • (1991) J. Differential Equations , vol.94 , pp. 1-40
    • LUNARDI, A.1    VESPRI, V.2
  • 16
    • 14844329076 scopus 로고    scopus 로고
    • Elliptic equations with BMO coefficients in Lipschitz domains
    • S.-S. BYUN, Elliptic equations with BMO coefficients in Lipschitz domains, Trans. Amer. Math. Soc., 357 (2005), pp. 1025-1046.
    • (2005) Trans. Amer. Math. Soc , vol.357 , pp. 1025-1046
    • BYUN, S.-S.1
  • 17
    • 33947167707 scopus 로고    scopus 로고
    • Parabolic and elliptic equations with VMO coefficients
    • N. V. KRYLOV, Parabolic and elliptic equations with VMO coefficients, Comm. Partial Differential Equations, 32 (2007), pp. 453-475.
    • (2007) Comm. Partial Differential Equations , vol.32 , pp. 453-475
    • KRYLOV, N.V.1
  • 20
    • 0003131889 scopus 로고
    • Local behavior of solutions of quasilinear parabolic equations
    • D. G. ARONSON AND J. SERRIN, Local behavior of solutions of quasilinear parabolic equations, Arch. Rational Mech. Anal., 25 (1967), pp. 81-122.
    • (1967) Arch. Rational Mech. Anal , vol.25 , pp. 81-122
    • ARONSON, D.G.1    SERRIN, J.2
  • 21
    • 84980078895 scopus 로고
    • A Harnack inequality for parabolic differential equations
    • J. MOSER, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math., 17 (1964), pp. 101-134.
    • (1964) Comm. Pure Appl. Math , vol.17 , pp. 101-134
    • MOSER, J.1
  • 22
    • 47849126233 scopus 로고    scopus 로고
    • V. I. BOGACHEV, G. DA PRATO, AND M. RÖCKNER, On Parabolic Equations for Measures, Preprint BiBoS N 06-05-213, Bielefeld University, Bielefeld, Germany, 2006 (to appear in Comm. Partial Differential Equations).
    • V. I. BOGACHEV, G. DA PRATO, AND M. RÖCKNER, On Parabolic Equations for Measures, Preprint BiBoS N 06-05-213, Bielefeld University, Bielefeld, Germany, 2006 (to appear in Comm. Partial Differential Equations).
  • 23


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.