메뉴 건너뛰기




Volumn 6, Issue , 2000, Pages 153-225

Green's functions for elliptic and parabolic equations with random coefficients

Author keywords

Diffusions; Green's functions; Random environments

Indexed keywords


EID: 0012979832     PISSN: 10769803     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (11)
  • 1
    • 0000377165 scopus 로고
    • Non-negative solutions of linear parabolic equations
    • MR 55 #8553, Zbl 182.13802
    • D. G. Aronson, Non-negative solutions of linear parabolic equations, Ann. Sci. Norm. Sup. Pisa (3) 22 (1968), 607-694, MR 55 #8553, Zbl 182.13802.
    • (1968) Ann. Sci. Norm. Sup. Pisa (3) , vol.22 , pp. 607-694
    • Aronson, D.G.1
  • 2
    • 0032357007 scopus 로고    scopus 로고
    • On Quasiconformal Mappings and 2-Dimensional G-Closure Problems
    • MR 2000f:74068, Zbl 912.65106
    • K. Astala and M. Miettinen, On Quasiconformal Mappings and 2-Dimensional G-Closure Problems, Arch. Rational Mech. Anal. 143 (1998), 207-240, MR 2000f:74068, Zbl 912.65106.
    • (1998) Arch. Rational Mech. Anal. , vol.143 , pp. 207-240
    • Astala, K.1    Miettinen, M.2
  • 3
    • 0001204664 scopus 로고
    • Upper bounds for symmetric Markov transition functions
    • MR 88i:35066, Zbl 634.60066
    • E. A. Carlen, S. Kusuoka and D. Stroock, Upper bounds for symmetric Markov transition functions, Ann. Inst. H. Poincaré 23 (1987), 245-87, MR 88i:35066, Zbl 634.60066.
    • (1987) Ann. Inst. H. Poincaré , vol.23 , pp. 245-287
    • Carlen, E.A.1    Kusuoka, S.2    Stroock, D.3
  • 4
    • 3042650414 scopus 로고    scopus 로고
    • On homogenisation of elliptic equations with random coefficients
    • paper 9, 1-58, CMP 1 768 843
    • J. Conlon and A. Naddaf, On homogenisation of elliptic equations with random coefficients, Electronic Journal of Probability 5 (2000), paper 9, 1-58, CMP 1 768 843.
    • (2000) Electronic Journal of Probability , vol.5
    • Conlon, J.1    Naddaf, A.2
  • 5
    • 0003287060 scopus 로고
    • Heat Kernels and Spectral Theory
    • Cambridge University Press, Cambridge-New York, MR 90e:35123, Zbl 699.35006
    • E. B. Davies, Heat Kernels and Spectral Theory, Cambridge Tracts in Mathematics 92, Cambridge University Press, Cambridge-New York, 1989, MR 90e:35123, Zbl 699.35006.
    • (1989) Cambridge Tracts in Mathematics , vol.92
    • Davies, E.B.1
  • 6
    • 0030558303 scopus 로고    scopus 로고
    • Diffusion in Turbulence
    • MR 98d:60156, Zbl 847.60062
    • A. Fannjiang and G. Papanicolaou, Diffusion in Turbulence, Prob. Theory Relat. Fields 105 (1996), 279-334, MR 98d:60156, Zbl 847.60062.
    • (1996) Prob. Theory Relat. Fields , vol.105 , pp. 279-334
    • Fannjiang, A.1    Papanicolaou, G.2
  • 7
    • 0032187207 scopus 로고    scopus 로고
    • Convection-diffusion equation with space-time ergodic random flow
    • MR 99j:35084, Zbl 914.60070
    • C. Landim, S. Olla and H. T. Yau, Convection-diffusion equation with space-time ergodic random flow, Probab. Theory Relat. Fields 112 (1998), 203-220, MR 99j:35084, Zbl 914.60070.
    • (1998) Probab. Theory Relat. Fields , vol.112 , pp. 203-220
    • Landim, C.1    Olla, S.2    Yau, H.T.3
  • 8
    • 0001689286 scopus 로고
    • Boundary value problems with rapidly oscillating random coefficients
    • North Holland, Amsterdam, MR 84h:82005, Zbl 499.60059
    • G. Papanicolaou and S. Varadhan, Boundary value problems with rapidly oscillating random coefficients, Random Fields, Vol. 2 of Coll. Math. Soc. Janos Bolya, no. 27, North Holland, Amsterdam, 1981, pp. 835-873, MR 84h:82005, Zbl 499.60059.
    • (1981) Random Fields, Vol. 2 of Coll. Math. Soc. Janos Bolya , vol.2 , Issue.27 , pp. 835-873
    • Papanicolaou, G.1    Varadhan, S.2
  • 10
    • 0003263410 scopus 로고
    • Introduction to Fourier Analysis on Euclidean Spaces
    • Princeton University Press, Princeton, N.J., MR 46 #4102, Zbl 232.42007
    • E. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Mathematical Series, No. 32, Princeton University Press, Princeton, N.J., 1971, MR 46 #4102, Zbl 232.42007.
    • (1971) Princeton Mathematical Series , Issue.32
    • Stein, E.1    Weiss, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.