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Volumn 334, Issue 3, 2006, Pages 643-678

Global comparison of perturbed green functions

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EID: 32544439660     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-005-0719-2     Document Type: Review
Times cited : (24)

References (21)
  • 1
    • 0032329262 scopus 로고    scopus 로고
    • Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions
    • Aikawa, H.: Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions. Math. Ann. 312(2), 289-318 (1998)
    • (1998) Math. Ann. , vol.312 , Issue.2 , pp. 289-318
    • Aikawa, H.1
  • 2
    • 0000760840 scopus 로고
    • On the distribution of first hits for the symmetric stable processes
    • Blumenthal, R.M., Getoor, R.K., Ray, D.B.: On the distribution of first hits for the symmetric stable processes. Trans. Amer. Math. Soc. 99, 540-554 (1961)
    • (1961) Trans. Amer. Math. Soc. , vol.99 , pp. 540-554
    • Blumenthal, R.M.1    Getoor, R.K.2    Ray, D.B.3
  • 4
    • 0034652877 scopus 로고    scopus 로고
    • Sharp estimates for the Green function in Lipschitz domains
    • Bogdan, K.: Sharp estimates for the Green function in Lipschitz domains. J. Math. Anal. Appl. 243(2), 326-337 (2000)
    • (2000) J. Math. Anal. Appl. , vol.243 , Issue.2 , pp. 326-337
    • Bogdan, K.1
  • 5
    • 0037946552 scopus 로고
    • Functions of one complex variable. II
    • Springer-Verlag, New York
    • Conway, J.B.: Functions of one complex variable. II, volume 159 of Graduate Texts in Mathematics, Springer-Verlag, New York, 1995
    • (1995) Graduate Texts in Mathematics , vol.159
    • Conway, J.B.1
  • 6
    • 0032335134 scopus 로고    scopus 로고
    • Estimates on Green functions and Poisson kernels for symmetric stable processes
    • Chen, Z.Q., Song, R.: Estimates on Green functions and Poisson kernels for symmetric stable processes. Math. Ann. 312(3), 465-501 (1998)
    • (1998) Math. Ann. , vol.312 , Issue.3 , pp. 465-501
    • Chen, Z.Q.1    Song, R.2
  • 7
    • 0036630931 scopus 로고    scopus 로고
    • General gauge and conditional gauge theorems
    • Chen, Z.Q., Song, R.: General gauge and conditional gauge theorems. Ann. Probab. 30(3), 1313-1339 (2002)
    • (2002) Ann. Probab. , vol.30 , Issue.3 , pp. 1313-1339
    • Chen, Z.Q.1    Song, R.2
  • 9
    • 9744281169 scopus 로고    scopus 로고
    • Normalized solutions of Schrödinger equations with potentially bounded measures
    • Hansen, W: Normalized solutions of Schrödinger equations with potentially bounded measures. Potential Analysis 21, 99-135 (2004)
    • (2004) Potential Analysis , vol.21 , pp. 99-135
    • Hansen, W.1
  • 10
    • 0013082953 scopus 로고    scopus 로고
    • Harnack inequalities for Schrödinger operators
    • Hansen, W.: Harnack inequalities for Schrödinger operators. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 28, 413-470 (1999)
    • (1999) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.28 , pp. 413-470
    • Hansen, W.1
  • 12
    • 0009833292 scopus 로고
    • The Dirichlet problem for sub-Laplacians on nilpotent Lie groups - Geometric criteria for regularity
    • Hansen, W., Hueber, H.: The Dirichlet problem for sub-Laplacians on nilpotent Lie groups - geometric criteria for regularity. Math. Ann. 276(4), 537-547 (1987)
    • (1987) Math. Ann. , vol.276 , Issue.4 , pp. 537-547
    • Hansen, W.1    Hueber, H.2
  • 13
    • 0038291919 scopus 로고
    • Perturbation by differences of unbounded potentials
    • Hansen, W., Ma, Z.M.: Perturbation by differences of unbounded potentials. Math. Ann. 287, 553-569 1990
    • (1990) Math. Ann. , vol.287 , pp. 553-569
    • Hansen, W.1    Ma, Z.M.2
  • 14
    • 0002345448 scopus 로고    scopus 로고
    • Properties of Green function of symmetric stable processes
    • (2 Acta Univ. Wratislav. No. 2029)
    • Kulczycki, T.: Properties of Green function of symmetric stable processes. Probab. Math. Statist. 17(2 Acta Univ. Wratislav. No. 2029), 339-364 (1997)
    • (1997) Probab. Math. Statist. , vol.17 , pp. 339-364
    • Kulczycki, T.1
  • 15
    • 0003952910 scopus 로고
    • Blaisdell Publishing Co. Ginn and Co. Waltham, Mass.-Toronto, Ont.-London
    • Meyer, P.-A.: Probability and potentials. Blaisdell Publishing Co. Ginn and Co. Waltham, Mass.-Toronto, Ont.-London, 1966
    • (1966) Probability and Potentials
    • Meyer, P.-A.1
  • 16
    • 0031498748 scopus 로고    scopus 로고
    • Semismall perturbations in the Martin theory for elliptic equations
    • Murata, M.: Semismall perturbations in the Martin theory for elliptic equations. Israel J. Math. 102, 29-60 (1997)
    • (1997) Israel J. Math. , vol.102 , pp. 29-60
    • Murata, M.1
  • 17
    • 0033458245 scopus 로고    scopus 로고
    • Maximum and anti-maximum principles and eigenfunctions estimates via perturbation theory of positive solutions of elliptic equations
    • Pinchover, Y.: Maximum and anti-maximum principles and eigenfunctions estimates via perturbation theory of positive solutions of elliptic equations. Math. Ann. 314(3), 555-590 (1999)
    • (1999) Math. Ann. , vol.314 , Issue.3 , pp. 555-590
    • Pinchover, Y.1
  • 18
    • 0003221535 scopus 로고
    • Potential theory in the complex plane
    • Cambridge University Press, Cambridge
    • Ransford, T.: Potential theory in the complex plane, Volume 28 of London Mathematical Society Student Texts. Cambridge University Press, Cambridge, 1995
    • (1995) London Mathematical Society Student Texts , vol.28
    • Ransford, T.1
  • 19
    • 14644394314 scopus 로고    scopus 로고
    • The 3G-inequality for general Schrödinger operators on Lipschitz domains
    • Riahi, L.: The 3G-inequality for general Schrödinger operators on Lipschitz domains. Manuscripta Math. 116, 211-227 (2005)
    • (2005) Manuscripta Math. , vol.116 , pp. 211-227
    • Riahi, L.1
  • 21
    • 0000916784 scopus 로고
    • Green function for Schrödinger operator and conditioned Feynman-Kac gauge
    • Zhao, Z.X.: Green function for Schrödinger operator and conditioned Feynman-Kac gauge. J. Math. Anal. Appl. 116(2), 309-334 (1986)
    • (1986) J. Math. Anal. Appl. , vol.116 , Issue.2 , pp. 309-334
    • Zhao, Z.X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.