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Volumn 62, Issue 2, 2000, Pages 521-543

Estimates for fundamental solutions of second-order parabolic equations

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EID: 0034287964     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610700001332     Document Type: Article
Times cited : (46)

References (21)
  • 1
    • 0000377165 scopus 로고
    • Non-negative solutions of linear parabolic equations
    • D. G. ARONSON, 'Non-negative solutions of linear parabolic equations', Ann. Scuola Norm. Sup. Pisa 22 (1968) 607-694.
    • (1968) Ann. Scuola Norm. Sup. Pisa , vol.22 , pp. 607-694
    • Aronson, D.G.1
  • 2
    • 0001683890 scopus 로고
    • Explicit constants for Gaussian upper bounds on heat kernels
    • E. B. DAVIES, 'Explicit constants for Gaussian upper bounds on heat kernels', Amer. J. Math. 109 (1987) 319-334.
    • (1987) Amer. J. Math. , vol.109 , pp. 319-334
    • Davies, E.B.1
  • 3
    • 0003287060 scopus 로고
    • Heat kernels and spectral theory
    • Cambridge University Press
    • E. B. DAVIES, Heat kernels and spectral theory, Cambridge Tracts in Mathematics 92 (Cambridge University Press, 1989).
    • (1989) Cambridge Tracts in Mathematics , vol.92
    • Davies, E.B.1
  • 4
    • 84957132367 scopus 로고
    • Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications
    • S. D. EIDELMAN and F. O. PORPER, 'Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications', Russian Math. Surveys 39 (1984) 119-178.
    • (1984) Russian Math. Surveys , vol.39 , pp. 119-178
    • Eidelman, S.D.1    Porper, F.O.2
  • 5
    • 0002268615 scopus 로고
    • Gaussian upper bounds on fundamental solutions of parabolic equation; the method of Nash
    • Dirichlet forms, Springer, Berlin
    • E. B. FABES, 'Gaussian upper bounds on fundamental solutions of parabolic equation; the method of Nash', Dirichlet forms, Lecture Notes in Mathematics 1563 (Springer, Berlin, 1993) 1-20.
    • (1993) Lecture Notes in Mathematics , vol.1563 , pp. 1-20
    • Fabes, E.B.1
  • 6
    • 33646917618 scopus 로고
    • A new proof of Moser's parabolic harnack inequality using the old ideas of Nash
    • E. B. FABES and D. W. STROOCK, 'A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash', Arch. Rational Mech. Anal. 96 (1986) 327-338.
    • (1986) Arch. Rational Mech. Anal. , vol.96 , pp. 327-338
    • Fabes, E.B.1    Stroock, D.W.2
  • 8
    • 0001680091 scopus 로고
    • Continuity of solutions of parabolic and elliptic equations
    • J. NASH, 'Continuity of solutions of parabolic and elliptic equations', Amer. J. Math. 80 (1958) 931-954.
    • (1958) Amer. J. Math. , vol.80 , pp. 931-954
    • Nash, J.1
  • 9
    • 0000842034 scopus 로고
    • Estimates on the fundamental solutions to heat flows with uniformly elliptic coefficients
    • J. R. NORIS and D. W. STROOCK, 'Estimates on the fundamental solutions to heat flows with uniformly elliptic coefficients', Proc. London Math. Soc. 62 (1991) 373-402.
    • (1991) Proc. London Math. Soc. , vol.62 , pp. 373-402
    • Noris, J.R.1    Stroock, D.W.2
  • 10
    • 0033410970 scopus 로고    scopus 로고
    • The non-autonomous Kato class
    • R. SCHNAUBELT and J. VOIGT, 'The non-autonomous Kato class', Arch. Math. (Basel) 72 (1999) 454-460.
    • (1999) Arch. Math. (Basel) , vol.72 , pp. 454-460
    • Schnaubelt, R.1    Voigt, J.2
  • 11
    • 0002100319 scopus 로고    scopus 로고
    • On perturbation theory for linear elliptic and parabolic operators; the method of Nash
    • Y. A. SEMENOV, 'On perturbation theory for linear elliptic and parabolic operators; the method of Nash', Contemp. Math. 221 (1999) 217-284.
    • (1999) Contemp. Math. , vol.221 , pp. 217-284
    • Semenov, Y.A.1
  • 13
    • 0002841159 scopus 로고
    • Estimates on the heat kernel for the second order divergence form operators
    • De Gruyter
    • D. W. STROOCK, 'Estimates on the heat kernel for the second order divergence form operators', Probability theory (De Gruyter, 1992) 29-44.
    • (1992) Probability Theory , pp. 29-44
    • Stroock, D.W.1
  • 16
    • 38249040541 scopus 로고
    • Absorption semigroups, their generators and Schrödinger semigroups
    • J. VOIGT, 'Absorption semigroups, their generators and Schrödinger semigroups', J. Funct. Anal. 67 (1986) 167-205.
    • (1986) J. Funct. Anal. , vol.67 , pp. 167-205
    • Voigt, J.1
  • 17
    • 0001683680 scopus 로고
    • Absorption semigroups, Feller property, and the kato class
    • Birkhäuser, Basel
    • J. VOIGT, Absorption semigroups, Feller property, and the Kato class. Operator Theory: Advances and Applications 78 (Birkhäuser, Basel, 1995) 389-396.
    • (1995) Operator Theory: Advances and Applications , vol.78 , pp. 389-396
    • Voigt, J.1
  • 19
    • 21344440459 scopus 로고    scopus 로고
    • On a parabolic equation with a singular lower order term
    • Q. S. ZHANG, 'On a parabolic equation with a singular lower order term', Trans. Amer. Math. Soc. 348 (1996) 2811-2844.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 2811-2844
    • Zhang, Q.S.1
  • 20
    • 0040238156 scopus 로고    scopus 로고
    • On a parabolic equation with a singular lower order term. II: The Gaussian bounds
    • Q. S. ZHANG, 'On a parabolic equation with a singular lower order term. II: The Gaussian bounds', Indiana Univ. Math. J. 43 (1997) 989-1020.
    • (1997) Indiana Univ. Math. J. , vol.43 , pp. 989-1020
    • Zhang, Q.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.