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Volumn 234, Issue 1, 2007, Pages 54-79

On a class of self-adjoint elliptic operators in L2 spaces with respect to invariant measures

Author keywords

Elliptic operators; Invariant measures; Unbounded coefficients

Indexed keywords


EID: 33845924931     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2006.11.017     Document Type: Article
Times cited : (11)

References (18)
  • 1
    • 0002925263 scopus 로고
    • L'hypercontractivité et son utilisation en théorie des semi-groupes
    • Lectures on Probability Theory, Springer-Verlag, Berlin
    • Bakry D. L'hypercontractivité et son utilisation en théorie des semi-groupes. Lectures on Probability Theory. Lecture Notes in Math. vol. 1581 (1994), Springer-Verlag, Berlin
    • (1994) Lecture Notes in Math. , vol.1581
    • Bakry, D.1
  • 2
    • 11444265960 scopus 로고    scopus 로고
    • Gradient estimates in parabolic problems with unbounded coefficients
    • Bertoldi M., and Fornaro S. Gradient estimates in parabolic problems with unbounded coefficients. Studia Math. 165 (2004) 221-254
    • (2004) Studia Math. , vol.165 , pp. 221-254
    • Bertoldi, M.1    Fornaro, S.2
  • 3
    • 33845915003 scopus 로고    scopus 로고
    • M. Bertoldi, S. Fornaro, L. Lorenzi, Gradient estimates in parabolic problems with unbounded coefficients in non-convex unbounded domains, Forum Math., in press
  • 6
    • 1542511259 scopus 로고    scopus 로고
    • Elliptic operators with unbounded drift coefficients and Neumann boundary condition
    • Da Prato G., and Lunardi A. Elliptic operators with unbounded drift coefficients and Neumann boundary condition. J. Differential Equations 198 (2004) 35-52
    • (2004) J. Differential Equations , vol.198 , pp. 35-52
    • Da Prato, G.1    Lunardi, A.2
  • 7
    • 84887244223 scopus 로고    scopus 로고
    • On a class of elliptic operators with unbounded coefficients in convex domains
    • Da Prato G., and Lunardi A. On a class of elliptic operators with unbounded coefficients in convex domains. Rend. Mat. Acc. Lincei Ser. 9 15 (2004) 315-326
    • (2004) Rend. Mat. Acc. Lincei Ser. 9 , vol.15 , pp. 315-326
    • Da Prato, G.1    Lunardi, A.2
  • 8
    • 0003320921 scopus 로고
    • Elliptic Problems in Nonsmooth Domains
    • Pitman, Boston
    • Grisvard P. Elliptic Problems in Nonsmooth Domains. Monogr. Studies in Math. vol. 24 (1985), Pitman, Boston
    • (1985) Monogr. Studies in Math. , vol.24
    • Grisvard, P.1
  • 9
    • 0001429116 scopus 로고
    • Logarithmic Sobolev inequalities
    • Gross L. Logarithmic Sobolev inequalities. Amer. J. Math. 97 (1975) 1061-1083
    • (1975) Amer. J. Math. , vol.97 , pp. 1061-1083
    • Gross, L.1
  • 10
    • 0002236459 scopus 로고
    • Logarithmic Sobolev inequalities and contractivity properties of semigroups
    • Dirichlet Forms. Dell'Antonio G., and Mosco U. (Eds), Springer-Verlag, Berlin
    • Gross L. Logarithmic Sobolev inequalities and contractivity properties of semigroups. In: Dell'Antonio G., and Mosco U. (Eds). Dirichlet Forms. Lecture Notes in Math. vol. 1563 (1993), Springer-Verlag, Berlin 54-88
    • (1993) Lecture Notes in Math. , vol.1563 , pp. 54-88
    • Gross, L.1
  • 12
    • 24944499259 scopus 로고    scopus 로고
    • Dirichlet boundary conditions for elliptic operators with unbounded drift
    • Lunardi A., Metafune G., and Pallara D. Dirichlet boundary conditions for elliptic operators with unbounded drift. Proc. Amer. Math. Soc. 133 (2005) 2625-2635
    • (2005) Proc. Amer. Math. Soc. , vol.133 , pp. 2625-2635
    • Lunardi, A.1    Metafune, G.2    Pallara, D.3
  • 13
    • 0013535822 scopus 로고    scopus 로고
    • ∞ and Schauder estimates for elliptic and parabolic operators with unbounded coefficients
    • Proceedings of the Conference Reaction-Diffusion Systems. Caristi G., and Mitidieri E. (Eds). Trieste, 1995, Dekker, New York
    • ∞ and Schauder estimates for elliptic and parabolic operators with unbounded coefficients. In: Caristi G., and Mitidieri E. (Eds). Proceedings of the Conference Reaction-Diffusion Systems. Trieste, 1995. Lect. Notes Pure Appl. Math. vol. 194 (1998), Dekker, New York 217-239
    • (1998) Lect. Notes Pure Appl. Math. , vol.194 , pp. 217-239
    • Lunardi, A.1    Vespri, V.2
  • 15
    • 0003831421 scopus 로고
    • Cambridge Univ. Press, Cambridge
    • Petersen K. Ergodic Theory (1983), Cambridge Univ. Press, Cambridge
    • (1983) Ergodic Theory
    • Petersen, K.1
  • 17
    • 15244348158 scopus 로고    scopus 로고
    • N with unbounded coefficients in classical Sobolev spaces
    • N with unbounded coefficients in classical Sobolev spaces. Math. Z. 249 (2005) 1-30
    • (2005) Math. Z. , vol.249 , pp. 1-30
    • Rabier, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.