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Volumn 140, Issue 2, 1997, Pages 161-195

Long-time behaviour of heat flow: Global estimates and exact asymptotics

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ESTIMATION; HEAT TRANSFER; MATHEMATICAL OPERATORS; OPTIMIZATION; VARIATIONAL TECHNIQUES;

EID: 0031261349     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050050063     Document Type: Article
Times cited : (70)

References (16)
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    • (1968) Ann. Sci. Norm. Sup. Pisa , vol.22 , pp. 607-694
    • Aronson, D.G.1
  • 2
    • 0000241904 scopus 로고
    • Heat kernel lower bounds on Riemannian manifolds using the old ideas of Nash
    • I. BENJAMINI, I. CHAVEL & E. A. FELDMAN, Heat kernel lower bounds on Riemannian manifolds using the old ideas of Nash, Proc. London Math. Soc. 72 (1992), 215-240.
    • (1992) Proc. London Math. Soc. , vol.72 , pp. 215-240
    • Benjamini, I.1    Chavel, I.2    Feldman, E.A.3
  • 5
    • 0028416333 scopus 로고
    • Convection enhanced diffusion in periodic flows
    • A. FANNJIANG & G. C. PAPANICOLAOU, Convection enhanced diffusion in periodic flows, SIAM J. Appl. Math. 54 (1994), 333-408.
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 333-408
    • Fannjiang, A.1    Papanicolaou, G.C.2
  • 6
    • 33646917618 scopus 로고
    • A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
    • E. B. FABES & 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
    • 0001436849 scopus 로고
    • Heat kernel upper bounds on a complete non-compact manifold
    • A. GRIGOR'YAN, Heat kernel upper bounds on a complete non-compact manifold, Rev. Mat. Iberoamericana 10 (1994), 395-452.
    • (1994) Rev. Mat. Iberoamericana , vol.10 , pp. 395-452
    • Grigor'yan, A.1
  • 12
    • 84990557371 scopus 로고
    • On characterizing the set of possible effective tensors of composites: The variational method and the translation method
    • G. W. MILTON, On characterizing the set of possible effective tensors of composites: The variational method and the translation method, Comm. Pure Appl. Math. 43 (1990), 63-125.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 63-125
    • Milton, G.W.1
  • 13
    • 0040454442 scopus 로고
    • Heat kernel bounds and homogenization of elliptic operators
    • J. R. NORRIS, Heat kernel bounds and homogenization of elliptic operators, Bull. London Math. Soc. 26 (1994), 75-87.
    • (1994) Bull. London Math. Soc. , vol.26 , pp. 75-87
    • Norris, J.R.1
  • 14
    • 0000842034 scopus 로고
    • Estimates on the fundamental solution to heat flows with uniformly elliptic coefficients
    • J. R. NORRIS & D. W. STROOCK, Estimates on the fundamental solution to heat flows with uniformly elliptic coefficients, Proc. London Math. Soc. (3) 62 (1991), 373-402.
    • (1991) Proc. London Math. Soc. (3) , vol.62 , pp. 373-402
    • Norris, J.R.1    Stroock, D.W.2
  • 15
    • 0000576153 scopus 로고
    • Diffusion semigroups corresponding to uniformly elliptic divergence form operators
    • (eds. J. AZÉMA, P. A. MEYER & M. YOR), Springer, Berlin
    • D. W. STROOCK, Diffusion semigroups corresponding to uniformly elliptic divergence form operators. Séminaire de probabilités XXXII, Lecture Notes in Math. 1321 (eds. J. AZÉMA, P. A. MEYER & M. YOR), Springer, Berlin, 1988, pp. 316-347.
    • (1988) Séminaire de Probabilités XXXII, Lecture Notes in Math. , vol.1321 , pp. 316-347
    • Stroock, D.W.1
  • 16
    • 84972506714 scopus 로고
    • Analysis on local Dirichlet spaces II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
    • K.-Th. STURM, Analysis on local Dirichlet spaces II: Upper Gaussian estimates for the fundamental solutions of parabolic equations. Osaka J. Math. 32 (1995), 275-312.
    • (1995) Osaka J. Math. , vol.32 , pp. 275-312
    • Sturm, K.-Th.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.