메뉴 건너뛰기




Volumn 339, Issue 1, 2007, Pages 135-174

Boundary Harnack principle for Brownian motions with measure-valued drifts in bounded Lipschitz domains

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34547292589     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-007-0110-6     Document Type: Article
Times cited : (9)

References (28)
  • 1
    • 0001577515 scopus 로고
    • Principe de Harnack à la frontir̀e et thórm̀e de Fatou pour un opŕateur elliptique dans un domaine lipschitzien
    • Ancona, A.: Principe de Harnack à la frontir̀e et thórm̀e de Fatou pour un opŕateur elliptique dans un domaine lipschitzien. Ann. Inst. Fourier (Grenoble) 28(4), 169-213 (1978)
    • (1978) Ann. Inst. Fourier (Grenoble) , vol.28 , Issue.4 , pp. 169-213
    • Ancona, A.1
  • 2
    • 0000377165 scopus 로고
    • Non-negative solutions of linear parabolic equations
    • Aronson, D.G.: Non-negative solutions of linear parabolic equations. Ann. Scuola Norm. Sup. Pisa 22, 607-694 (1988)
    • (1988) Ann. Scuola Norm. Sup. Pisa , vol.22 , pp. 607-694
    • Aronson, D.G.1
  • 4
    • 0002538769 scopus 로고
    • A boundary Harnack principle in twisted Hölder domains
    • Bass, R.F., Burdzy, K.: A boundary Harnack principle in twisted Hölder domains. Ann. Math. 134(2), 253-276 (1991)
    • (1991) Ann. Math , vol.134 , Issue.2 , pp. 253-276
    • Bass, R.F.1    Burdzy, K.2
  • 5
    • 0002149688 scopus 로고
    • A probabilistic proof of the boundary Harnack principle
    • Birkhäuser, Boston
    • Bass, R.F., Burdzy, K.: A probabilistic proof of the boundary Harnack principle. Seminar on Stochastic Processes (1989), 1-16, Birkhäuser, Boston (1990)
    • (1989) Seminar on Stochastic Processes , pp. 1-16
    • Bass, R.F.1    Burdzy, K.2
  • 6
    • 0038674626 scopus 로고    scopus 로고
    • Brownian motion with singular drift
    • Bass, R.F., Chen, Z.-Q.: Brownian motion with singular drift. Ann. Probab. 31(2), 791-817 (2003)
    • (2003) Ann. Probab , vol.31 , Issue.2 , pp. 791-817
    • Bass, R.F.1    Chen, Z.-Q.2
  • 8
    • 0000736848 scopus 로고
    • Boundary behavior of nonnegative solutions of elliptic operators in divergence form
    • Caffarelli, L., Fabes, E., Mortola, S., Salsa, S.: Boundary behavior of nonnegative solutions of elliptic operators in divergence form. Indiana Univ. Math. J. 30(4), 621-640 (1981)
    • (1981) Indiana Univ. Math. J , vol.30 , Issue.4 , pp. 621-640
    • Caffarelli, L.1    Fabes, E.2    Mortola, S.3    Salsa, S.4
  • 9
    • 0039523791 scopus 로고    scopus 로고
    • On the existence of positive solutions for semilinear elliptic equations with singular lower order coefficients and Dirichlet boundary conditions
    • Chen, Z.-Q., Williams, R.J., Zhao, Z.: On the existence of positive solutions for semilinear elliptic equations with singular lower order coefficients and Dirichlet boundary conditions. Math. Ann. 315(4), 735-769 (1999)
    • (1999) Math. Ann , vol.315 , Issue.4 , pp. 735-769
    • Chen, Z.-Q.1    Williams, R.J.2    Zhao, Z.3
  • 13
    • 34247281256 scopus 로고
    • A new setting for potential theory
    • Chung, K.L., Rao, K.M.: A new setting for potential theory. Ann. Inst. Fourier 30, 167-198 (1980)
    • (1980) Ann. Inst. Fourier , vol.30 , pp. 167-198
    • Chung, K.L.1    Rao, K.M.2
  • 14
    • 0017727486 scopus 로고
    • Estimates of harmonic measure
    • Dahlberg, B.: Estimates of harmonic measure. Arch. Rational Mech. Anal. 65(3), 275-288 (1977)
    • (1977) Arch. Rational Mech. Anal , vol.65 , Issue.3 , pp. 275-288
    • Dahlberg, B.1
  • 15
    • 38249038366 scopus 로고
    • The equivalence of certain heat kernel and Green function bounds
    • Davies, E.B.: The equivalence of certain heat kernel and Green function bounds. J. Funct. Anal. 71, 88-103 (1987)
    • (1987) J. Funct. Anal , vol.71 , pp. 88-103
    • Davies, E.B.1
  • 18
    • 34147092098 scopus 로고    scopus 로고
    • Estimates on Green functions and the Schrodinger-type equations for non-symmetric diffusions with measure-valued drifts
    • Kim, P., Song, R.: Estimates on Green functions and the Schrodinger-type equations for non-symmetric diffusions with measure-valued drifts. J. Math. Anal. Appl. 332(1), 57-80 (2007)
    • (2007) J. Math. Anal. Appl , vol.332 , Issue.1 , pp. 57-80
    • Kim, P.1    Song, R.2
  • 19
    • 34547317985 scopus 로고    scopus 로고
    • Intrinsic ultracontractivity of non-symmetric diffusions with measure-valued drifts and potentials
    • Preprint
    • Kim, P., Song, R.: Intrinsic ultracontractivity of non-symmetric diffusions with measure-valued drifts and potentials. Preprint (2006)
    • (2006)
    • Kim, P.1    Song, R.2
  • 20
    • 34547378609 scopus 로고    scopus 로고
    • On dual processes of non-symmetric diffusions with measure-valued drifts
    • Preprint
    • Kim, P., Song, R.: On dual processes of non-symmetric diffusions with measure-valued drifts. Preprint (2006)
    • (2006)
    • Kim, P.1    Song, R.2
  • 21
    • 34147145568 scopus 로고    scopus 로고
    • Two-sided estimates on the density of Brownian motion with singular drift
    • Kim, P., Song, R.: Two-sided estimates on the density of Brownian motion with singular drift. Ill. J. Math. 50(3), 635-688 (2006)
    • (2006) Ill. J. Math , vol.50 , Issue.3 , pp. 635-688
    • Kim, P.1    Song, R.2
  • 22
    • 0000786340 scopus 로고
    • Minimal positive harmonic functions
    • Martin, R.S.: Minimal positive harmonic functions. Trans. Am. Math. Soc. 49, 137-172 (1941)
    • (1941) Trans. Am. Math. Soc , vol.49 , pp. 137-172
    • Martin, R.S.1
  • 23
    • 84966248903 scopus 로고
    • Continuity of excessive harmonic functions for certain diffusions
    • Pop-Stojanović, Z.R.: Continuity of excessive harmonic functions for certain diffusions. Proc. Am. Math. Soc. 103(2), 607-611 (1988)
    • (1988) Proc. Am. Math. Soc , vol.103 , Issue.2 , pp. 607-611
    • Pop-Stojanović, Z.R.1
  • 24
    • 17744385580 scopus 로고    scopus 로고
    • Comparison of Green functions and harmonic measure of parabolic operators
    • Riahi, L.: Comparison of Green functions and harmonic measure of parabolic operators. Potential Anal. 23(4), 381-402 (2005)
    • (2005) Potential Anal , vol.23 , Issue.4 , pp. 381-402
    • Riahi, L.1
  • 25
    • 34547380186 scopus 로고    scopus 로고
    • Taylor, J.C.: The Martin compactification associated with a second order strictly elliptic partial differential operator on a manifold M. In: Topics in probability and Lie groups: boundary theory, pp. 153-202, CRM Proc. Lecture Notes, 28, Am. Math. Soc., Providence, RI (2001)
    • Taylor, J.C.: The Martin compactification associated with a second order strictly elliptic partial differential operator on a manifold M. In: Topics in probability and Lie groups: boundary theory, pp. 153-202, CRM Proc. Lecture Notes, 28, Am. Math. Soc., Providence, RI (2001)
  • 26
    • 0001356097 scopus 로고
    • Comparisons of kernel functions, boundary Harnack principle and relative Fatou theorem on Lipschitz domains
    • Wu, J.M.: Comparisons of kernel functions, boundary Harnack principle and relative Fatou theorem on Lipschitz domains. Ann. Inst. Fourier (Grenoble) 28(4), 147-167 (1978)
    • (1978) Ann. Inst. Fourier (Grenoble) , vol.28 , Issue.4 , pp. 147-167
    • Wu, J.M.1
  • 28
    • 0036647454 scopus 로고    scopus 로고
    • The boundary behavior of heat kernels of Dirichlet Laplacians
    • Zhang, Q.S.: The boundary behavior of heat kernels of Dirichlet Laplacians. J. Differ. Equ. 182, 416-430 (2002)
    • (2002) J. Differ. Equ , vol.182 , pp. 416-430
    • Zhang, Q.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.