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Volumn 12, Issue 3, 2002, Pages 425-436

The fundamental solution on manifolds with time-dependent metrics

Author keywords

Fundamental solution; geometric heat flow; Harnack inequality

Indexed keywords


EID: 0141637246     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02922048     Document Type: Article
Times cited : (76)

References (13)
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    • D.G. Aronson 1967 Bounds for the fundamental solution of a parabolic equation Bull. Am. Math. Soc. 73 890 896 10.1090/S0002-9904-1967-11830-5 217444 0153.42002
    • (1967) Bull. Am. Math. Soc. , vol.73 , pp. 890-896
    • Aronson, D.G.1
  • 2
    • 0039444272 scopus 로고    scopus 로고
    • Harnack inequalities on a manifold with positive or negative Ricci curvature
    • 1681640 0924.58096
    • D. Bakry Z.M. Qian 1999 Harnack inequalities on a manifold with positive or negative Ricci curvature Revista Matematica Iberoamericana 15 143 179 1681640 0924.58096
    • (1999) Revista Matematica Iberoamericana , vol.15 , pp. 143-179
    • Bakry, D.1    Qian, Z.M.2
  • 4
    • 84972537533 scopus 로고
    • Convergence of the Ricci flow for metrics with indefinite Ricci curvature
    • 1030672 0647.53033
    • M. Carfora J. Isenberg M. Jackson 1990 Convergence of the Ricci flow for metrics with indefinite Ricci curvature J. Differential Geometry 31 249 263 1030672 0647.53033
    • (1990) J. Differential Geometry , vol.31 , pp. 249-263
    • Carfora, M.1    Isenberg, J.2    Jackson, M.3
  • 5
    • 84867992063 scopus 로고    scopus 로고
    • Dissertation: The fundamental solution on manifolds with time-varying metrics, and the well problem
    • Guenther, C.M. Dissertation: The fundamental solution on manifolds with time-varying metrics, and the well problem.
    • Guenther C., .M.1
  • 7
    • 84972513449 scopus 로고
    • Three-manifolds with positive Ricci curvature
    • 664497 0504.53034
    • R.S. Hamilton 1982 Three-manifolds with positive Ricci curvature J. Differential Geometry 17 255 306 664497 0504.53034
    • (1982) J. Differential Geometry , vol.17 , pp. 255-306
    • Hamilton, R.S.1
  • 8
    • 0001825291 scopus 로고
    • The Formation of singularities in the Ricci flow
    • Hsiung, C.C. and Yau, S.-T.; Eds.,2, International Press
    • Hamilton, R.S.The Formation of singularities in the Ricci flow, Surveys in Differential Geometry, Hsiung, C.C. and Yau, S.-T.; Eds.,2, International Press, 7-136, (1995).
    • (1995) Surveys in Differential Geometry , pp. 7-136
    • Hamilton R., .S.1
  • 9
    • 84972555746 scopus 로고
    • Four-Manifolds with positive curvature operator
    • 862046 0628.53042
    • R.S. Hamilton 1986 Four-Manifolds with positive curvature operator J. Differential Geometry 24 153 179 862046 0628.53042
    • (1986) J. Differential Geometry , vol.24 , pp. 153-179
    • Hamilton, R.S.1
  • 10
    • 0002035254 scopus 로고
    • Second order linear equations of parabolic type
    • Hirsch, K.A.; Eds.; 17(3), The London Mathematical Society
    • Il'in, A.M.; Kalashnikov, A.S.; and Oleinik, O.A. Second order linear equations of parabolic type,Russian Mathematical Surveys, Hirsch, K.A.; Eds.; 17(3), The London Mathematical Society, 1-143, (1962).
    • (1962) Russian Mathematical Surveys , pp. 1-143
    • Il'In A., .M.1    Kalashnikov A., .S.2    Oleinik O., .A.3
  • 11
    • 0000324115 scopus 로고
    • On the parabolic kernel of the Schroedinger operator
    • 10.1007/BF02399203 834612
    • P. Li S.T. Yau 1986 On the parabolic kernel of the Schroedinger operator Acta Mathematica 156 153 201 10.1007/BF02399203 834612
    • (1986) Acta Mathematica , vol.156 , pp. 153-201
    • Li, P.1    Yau, S.T.2
  • 12
    • 0000328519 scopus 로고
    • Some properties of the eigenfunctions of the Laplace operator on Riemannian manifolds
    • 31145 0041.42701
    • S. Minakshisundaram A. Pleijel 1949 Some properties of the eigenfunctions of the Laplace operator on Riemannian manifolds Can. J. Math. 1 242 256 31145 0041.42701
    • (1949) Can. J. Math. , vol.1 , pp. 242-256
    • Minakshisundaram, S.1    Pleijel, A.2
  • 13
    • 0010763505 scopus 로고
    • Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications
    • 747792
    • F.O. Porper S.D. Eidel'man 1984 Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications Uspekhi Mat. Nauk 39 3 107 156 747792
    • (1984) Uspekhi Mat. Nauk , vol.39 , Issue.3 , pp. 107-156
    • Porper, F.O.1    Eidel'Man, S.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.