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Volumn 212, Issue 2, 2004, Pages 357-372

Uniqueness of diffusion generators for two types of particle systems with singular interactions

Author keywords

Diffusion in random media; Distorted Brownian motion; Singular interaction; Uniqueness problem

Indexed keywords


EID: 3142753430     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2004.03.012     Document Type: Article
Times cited : (3)

References (21)
  • 2
    • 36749107674 scopus 로고
    • Energy forms, Hamiltonians, and distorted Brownian paths
    • Albeverio S. Hoegh Krohn R. Streit L. Energy forms, Hamiltonians, and distorted Brownian paths J. Math. Phys. 18 1977 907-917
    • (1977) J. Math. Phys. , vol.18 , pp. 907-917
    • Albeverio, S.1    Hoegh Krohn, R.2    Streit, L.3
  • 4
    • 0001613648 scopus 로고    scopus 로고
    • Analysis and geometry on configuration spaces: The Gibbsian case
    • Albeverio S. Kondratiev Yu.G. Röckner M. Analysis and geometry on configuration spaces: the Gibbsian case J. Funct. Anal. 157 1998 242-292
    • (1998) J. Funct. Anal. , vol.157 , pp. 242-292
    • Albeverio, S.1    Kondratiev, Yu.G.2    Röckner, M.3
  • 5
    • 3142718467 scopus 로고    scopus 로고
    • Gradient Diffusions with Singular Drifts in Models of Mathematical Physics
    • in preparation
    • S. Albeverio, Y. Kondratiev, M. Röckner, Gradient Diffusions with Singular Drifts in Models of Mathematical Physics, (2004), in preparation.
    • (2004)
    • Albeverio, S.1    Kondratiev, Y.2    Röckner, M.3
  • 6
    • 3142749312 scopus 로고    scopus 로고
    • Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions
    • H.H. Kuo, et al. (Eds.), American Mathematical Society, Providence, RI
    • S. Albeverio, Y. Kondratiev, M. Röckner. Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions, in: H.H. Kuo, et al. (Eds.), Finite and Infinite Dimensional Analysis in Honor of Leonard Gross, Contemporary Mathematics, Vol. 317, American Mathematical Society, Providence, RI, 2003.
    • (2003) Finite and Infinite Dimensional Analysis in Honor of Leonard Gross, Contemporary Mathematics , vol.317
    • Albeverio, S.1    Kondratiev, Y.2    Röckner, M.3
  • 7
    • 0004011167 scopus 로고
    • The abstract Cauchy problem, special semigroups and perturbation
    • R. Nagel (Ed.), Springer, Berlin
    • W. Arendt, The abstract Cauchy problem, special semigroups and perturbation, in: R. Nagel (Ed.), One-parameter Semigroups of Positive Operators, Springer, Berlin, 1986.
    • (1986) One-parameter Semigroups of Positive Operators
    • Arendt, W.1
  • 8
    • 0003316646 scopus 로고
    • Expansions in eigenvectors of self-adjoint operators
    • Providence, RI: American Mathematical Society
    • Berezansky Yu.M. Expansions in eigenvectors of self-adjoint operators Translations of Mathematical Monographs Vol. 17 1968 American Mathematical Society Providence, RI
    • (1968) Translations of Mathematical Monographs , vol.17
    • Berezansky, Yu.M.1
  • 9
    • 0003572471 scopus 로고
    • Spectral Methods in Infinite-Dimensional Analysis
    • Dordrecht: Kluwer Academic Publishers (in Russian, Naukova Dumka, Kiev, 1988)
    • Berezansky Yu.M. Kondratiev Yu.G. Spectral Methods in Infinite-Dimensional Analysis 1995 Kluwer Academic Publishers Dordrecht (in Russian, Naukova Dumka, Kiev, 1988)
    • (1995)
    • Berezansky, Yu.M.1    Kondratiev, Yu.G.2
  • 11
    • 0003200995 scopus 로고    scopus 로고
    • Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
    • New York/Berlin: Springer
    • Eberle A. Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators Lecture Notes in Mathematics Vol. 1718 1999 Springer New York/Berlin
    • (1999) Lecture Notes in Mathematics , vol.1718
    • Eberle, A.1
  • 12
    • 0345271292 scopus 로고    scopus 로고
    • p uniqueness of non-symmetric diffusion operators with singular drift coefficients
    • p uniqueness of non-symmetric diffusion operators with singular drift coefficients J. Funct. Anal. 173 2000 328-342
    • (2000) J. Funct. Anal. , vol.173 , pp. 328-342
    • Eberle, A.1
  • 13
    • 0001979843 scopus 로고
    • Energy forms and diffusion processes
    • L. Streit (Ed.), Singapore: World Scientific Publishers
    • Fukushima M. Energy forms and diffusion processes in: Streit L. (Ed.), Mathematics and Physics, Lectures on Recent Results 1984 World Scientific Publishers Singapore
    • (1984) Mathematics and Physics, Lectures on Recent Results
    • Fukushima, M.1
  • 14
    • 0003523792 scopus 로고
    • Dirichlet forms and symmetric Marcov process
    • Berlin: de Gruiter
    • Fukushima M. Oshima Y. Takeda M. Dirichlet forms and symmetric Marcov process 1994 de Gruiter Berlin
    • (1994)
    • Fukushima, M.1    Oshima, Y.2    Takeda, M.3
  • 15
    • 21144463589 scopus 로고
    • A characterization of first order phase transitions for superstable interactions in classical statistical mechanics
    • Klein A. Yang W.S. A characterization of first order phase transitions for superstable interactions in classical statistical mechanics J. Statist. Phys. 71 1993 1043-1062
    • (1993) J. Statist. Phys. , vol.71 , pp. 1043-1062
    • Klein, A.1    Yang, W.S.2
  • 16
    • 25544453921 scopus 로고    scopus 로고
    • On relations between a priori bounds for measures on configuration spaces
    • BiBoS preprint
    • Yu. Kondratiev, T. Kuna, A. Kutovyi, On relations between a priori bounds for measures on configuration spaces, BiBoS, (2002), preprint.
    • (2002)
    • Kondratiev, Yu.1    Kuna, T.2    Kutovyi, A.3
  • 17
    • 0011381031 scopus 로고    scopus 로고
    • On the uniqueness problem for Dirichlet operators
    • Liskevich V. On the uniqueness problem for Dirichlet operators J. Funct. Anal. 162 1999 1-13
    • (1999) J. Funct. Anal. , vol.162 , pp. 1-13
    • Liskevich, V.1
  • 18
    • 38249010161 scopus 로고
    • Dirichlet operators: A-priori estimates and the uniqueness problem
    • Liskevich V.A. Semenov A.Yu. Dirichlet operators: a-priori estimates and the uniqueness problem J. Funct. Anal. 109 1992 199-213
    • (1992) J. Funct. Anal. , vol.109 , pp. 199-213
    • Liskevich, V.A.1    Semenov, A.Yu.2
  • 19
    • 0003718635 scopus 로고
    • Homogenization of Diffusion Processes in Random Fields
    • Palaiseau: C.M.A.P.-Ecole Polytechnique
    • Olla S. Homogenization of Diffusion Processes in Random Fields 1994 C.M.A.P.-Ecole Polytechnique Palaiseau
    • (1994)
    • Olla, S.1
  • 20
    • 0000030108 scopus 로고    scopus 로고
    • Stochastic analysis on configuration spaces: Basic ideas and recent results
    • J. Jost, et al. (Eds.), New Directions in Dirichlet Forms, Studies in Advanced Mathematics Providence, RI: International Press
    • Röckner M. Stochastic analysis on configuration spaces: basic ideas and recent results in: Jost J. al. et (Eds.), New Directions in Dirichlet Forms, Studies in Advanced Mathematics 1998 157-231 International Press
    • (1998) Amer. Math. Soc. , pp. 157-231
    • Röckner, M.1
  • 21


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.