메뉴 건너뛰기




Volumn 246, Issue 2, 2007, Pages 217-241

Strong Feller properties for distorted Brownian motion with reflecting boundary condition and an application to continuous N-particle systems with singular interactions

Author keywords

Diffusion processes; Interacting continuous particle systems; Reflecting boundary condition; Strong Feller properties

Indexed keywords


EID: 34247256036     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2007.01.014     Document Type: Article
Times cited : (16)

References (22)
  • 1
    • 3142749312 scopus 로고    scopus 로고
    • Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions
    • Finite and Infinite Dimensional Analysis, in Honor of Leonard Gross, Amer. Math. Soc., Providence, RI
    • Albeverio S., Kondratiev Yu.G., and Röckner M. Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions. Finite and Infinite Dimensional Analysis, in Honor of Leonard Gross. Contemp. Math. vol. 317 (2003), Amer. Math. Soc., Providence, RI
    • (2003) Contemp. Math. , vol.317
    • Albeverio, S.1    Kondratiev, Yu.G.2    Röckner, M.3
  • 2
    • 0039269962 scopus 로고
    • The semimartingale structure of reflecting Brownian motion
    • Bass R.F., and Hsu P. The semimartingale structure of reflecting Brownian motion. Proc. Amer. Math. Soc. 108 4 (1990) 1007-1010
    • (1990) Proc. Amer. Math. Soc. , vol.108 , Issue.4 , pp. 1007-1010
    • Bass, R.F.1    Hsu, P.2
  • 3
    • 0001584203 scopus 로고
    • Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
    • Bass R.F., and Hsu P. Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains. Ann. Probab. 19 2 (1991) 486-508
    • (1991) Ann. Probab. , vol.19 , Issue.2 , pp. 486-508
    • Bass, R.F.1    Hsu, P.2
  • 6
    • 3242720761 scopus 로고    scopus 로고
    • On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions
    • Bogachev V.I., Krylov N.V., and Röckner M. On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Comm. Partial Differential Equations 26 11-12 (2001) 2037-2080
    • (2001) Comm. Partial Differential Equations , vol.26 , Issue.11-12 , pp. 2037-2080
    • Bogachev, V.I.1    Krylov, N.V.2    Röckner, M.3
  • 7
    • 0036825417 scopus 로고    scopus 로고
    • Singular dissipative stochastic equations in Hilbert spaces
    • Da Prato M., and Röckner G. Singular dissipative stochastic equations in Hilbert spaces. Probab. Theory Related Fields 124 2 (2002) 261-303
    • (2002) Probab. Theory Related Fields , vol.124 , Issue.2 , pp. 261-303
    • Da Prato, M.1    Röckner, G.2
  • 8
    • 21644466977 scopus 로고    scopus 로고
    • Feller-type properties and path regularities of Markov processes
    • Dohmann J.M.N. Feller-type properties and path regularities of Markov processes. Forum Math. 17 3 (2005) 343-359
    • (2005) Forum Math. , vol.17 , Issue.3 , pp. 343-359
    • Dohmann, J.M.N.1
  • 9
    • 34247273712 scopus 로고    scopus 로고
    • T. Fattler, M. Grothaus, Construction of diffusions with reflecting boundary condition and an application to continuous N-particle systems with singular interactions, BiBoS preprint 04-12-170, Bielefeld University, 2004, Proc. Edinb. Math. Soc., in press
  • 11
    • 0001979843 scopus 로고
    • Energy Forms and Diffusion Processes
    • Streit L. (Ed), World Sci. Publ., Singapore pp. viii+338
    • Fukushima M. Energy Forms and Diffusion Processes. In: Streit L. (Ed). Mathematics + Physics vol. 1 (1985), World Sci. Publ., Singapore pp. viii+338
    • (1985) Mathematics + Physics , vol.1
    • Fukushima, M.1
  • 13
    • 84990576543 scopus 로고
    • Stochastic differential equations with reflecting boundary conditions
    • Lions P.-L., and Sznitman A.-S. Stochastic differential equations with reflecting boundary conditions. Comm. Pure Appl. Math. 37 4 (1984) 511-537
    • (1984) Comm. Pure Appl. Math. , vol.37 , Issue.4 , pp. 511-537
    • Lions, P.-L.1    Sznitman, A.-S.2
  • 14
    • 0002404407 scopus 로고    scopus 로고
    • Some problems on Markov semigroups
    • Schrödinger Operators, Markov Semigroups, Wavelet Analysis, Operator Algebras, Akademie Verlag, Berlin
    • Liskevich V.A., and Semenov Yu.A. Some problems on Markov semigroups. Schrödinger Operators, Markov Semigroups, Wavelet Analysis, Operator Algebras. Math. Top. vol. 11 (1996), Akademie Verlag, Berlin 163-217
    • (1996) Math. Top. , vol.11 , pp. 163-217
    • Liskevich, V.A.1    Semenov, Yu.A.2
  • 15
    • 0003246772 scopus 로고
    • Multiple Integrals in the Calculus of Variations
    • Springer, New York
    • Morrey Jr. C.B. Multiple Integrals in the Calculus of Variations. Grundlehren Math. Wiss. vol. 130 (1966), Springer, New York
    • (1966) Grundlehren Math. Wiss. , vol.130
    • Morrey Jr., C.B.1
  • 19
    • 0003316678 scopus 로고
    • Semigroups of Linear Operators and Applications to Partial Differential Equations
    • Springer, New York
    • Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. Appl. Math. Sci. vol. 44 (1983), Springer, New York
    • (1983) Appl. Math. Sci. , vol.44
    • Pazy, A.1
  • 20
    • 21844521606 scopus 로고
    • Sharp estimates for capacities and applications to symmetric diffusions
    • Sturm K.-T. Sharp estimates for capacities and applications to symmetric diffusions. Probab. Theory Related Fields 103 1 (1995) 73-89
    • (1995) Probab. Theory Related Fields , vol.103 , Issue.1 , pp. 73-89
    • Sturm, K.-T.1
  • 21
    • 0346271658 scopus 로고    scopus 로고
    • Skorokhod decomposition of reflected diffusions on bounded Lipschitz domains with singular non-reflection part
    • Trutnau G. Skorokhod decomposition of reflected diffusions on bounded Lipschitz domains with singular non-reflection part. Probab. Theory Related Fields 127 4 (2003) 455-495
    • (2003) Probab. Theory Related Fields , vol.127 , Issue.4 , pp. 455-495
    • Trutnau, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.