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Volumn 91, Issue 3, 1998, Pages 587-607

Evolving monotone difference operators on general space-time meshes

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EID: 0012935321     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-98-09122-0     Document Type: Article
Times cited : (23)

References (16)
  • 1
    • 0003259061 scopus 로고
    • Elliptic Partial Differential Equations of Second Order, 2d ed
    • Springer-Verlag, Berlin
    • D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, 2d ed., Grundlehren Math. Wiss. 224, Springer-Verlag, Berlin, 1983.
    • (1983) Grundlehren Math. Wiss , vol.224
    • Gilbarg, D.1    Trudinger, N.S.2
  • 2
    • 0039140304 scopus 로고
    • Harnack inequalities for solutions of general second order parabolic equations and estimates of their Holder constants
    • M. Gruber, Harnack inequalities for solutions of general second order parabolic equations and estimates of their Holder constants, Math. Z. 185 (1984), 23-43.
    • (1984) Math. Z , vol.185 , pp. 23-43
    • Gruber, M.1
  • 3
    • 21844521081 scopus 로고
    • Approximation of viscosity solutions of elliptic partial differential equations on minimal grids
    • M. Kocan, Approximation of viscosity solutions of elliptic partial differential equations on minimal grids, Numer. Math. 72 (1995), 73-92.
    • (1995) Numer. Math , vol.72 , pp. 73-92
    • Kocan, M.1
  • 4
    • 0001283685 scopus 로고
    • Sequence of convex functions and estimates of the maximum of the solution of a parabolic equation (In Russian)
    • Siberian Math. J. 17 (1976), 226-237 (English trans.)
    • N. V. Krylov, Sequence of convex functions and estimates of the maximum of the solution of a parabolic equation (in Russian), Sibirsk. Mat. Zh. 17 (1976), 290-303; Siberian Math. J. 17 (1976), 226-237 (English trans.).
    • (1976) Sibirsk. Mat. Zh , vol.17 , pp. 290-303
    • Krylov, N.V.1
  • 5
    • 0009321268 scopus 로고
    • Certain properties of solutions of parabolic equations with measurable coefficients
    • 239 (in Russian); Math. USSR-Izv. 16 (1981), 151-164 (English trans.)
    • N. Y. Krylov and M. V. Safonov, Certain properties of solutions of parabolic equations with measurable coefficients, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), 161-175, 239 (in Russian); Math. USSR-Izv. 16 (1981), 151-164 (English trans.).
    • (1980) Izv. Akad. Nauk SSSR Ser. Mat , vol.44 , pp. 161-175
    • Krylov, N.Y.1    Safonov, M.V.2
  • 6
    • 0013024444 scopus 로고
    • Linear elliptic difference inequalities with random coefficients
    • [61 H.-J. Kuo and N. S. Trudinger, Linear elliptic difference inequalities with random coefficients, Math. Comp. 55 (1990), 37-53.
    • (1990) Math. Comp , vol.55 , pp. 37-53
    • Kuo, H.-J.1    Trudinger, N.S.2
  • 7
    • 0026821779 scopus 로고
    • Discrete methods for fully nonlinear elliptic equations, SIAM
    • H.-J. Kuo and N. S. Trudinger, Discrete methods for fully nonlinear elliptic equations, SIAM J. Numer. Anal. 29 (1992), 123-135.
    • (1992) J. Numer. Anal , vol.29 , pp. 123-135
    • Kuo, H.-J.1    Trudinger, N.S.2
  • 8
    • 0040457644 scopus 로고
    • On the discrete maximum principle for parabolic difference operators, RAIRO Model
    • H.-J. Kuo and N. S. Trudinger, On the discrete maximum principle for parabolic difference operators, RAIRO Model. Math. Anal. Numer. 27 (1993), 719-737.
    • (1993) Math. Anal. Numer , vol.27 , pp. 719-737
    • Kuo, H.-J.1    Trudinger, N.S.2
  • 9
    • 0040623586 scopus 로고
    • Local estimates for parabolic difference operators
    • H.-J. Kuo and N. S. Trudinger, Local estimates for parabolic difference operators, J. Differential Equations 122 (1995), 398-413.
    • (1995) J. Differential Equations , vol.122 , pp. 398-413
    • Kuo, H.-J.1    Trudinger, N.S.2
  • 10
    • 0000483302 scopus 로고    scopus 로고
    • Positive difference operators on general meshes, Duke
    • H.-J. Kuo and N. S. Trudinger, Positive difference operators on general meshes, Duke Math. J. 83 (1996), 415-433.
    • (1996) Math. J , vol.83 , pp. 415-433
    • Kuo, H.-J.1    Trudinger, N.S.2
  • 12
    • 85037889810 scopus 로고
    • Convex-monotone hulls and an estimate of the maximum of the solution of a parabolic equation (In Russian)
    • 95-109
    • A. I. Nazarov and N. N. Ural’tseva, Convex-monotone hulls and an estimate of the maximum of the solution of a parabolic equation (in Russian), Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. (LOMI) Steklov. 147 (1985), 95-109, 204-205.
    • (1985) Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. (LOMI) Steklov , vol.147 , pp. 204-205
    • Nazarov, A.I.1    Ural’Tseva, N.N.2
  • 13
    • 85037882749 scopus 로고
    • Harnack inequalities for parabolic equations in general form with bounded measurable coefficients, Research Report R44-84
    • 1984; Fully non-linear parabolic differential equations of second order, Ph.D. dissertation, Australian Nat. Univ
    • S. J. Reye, Harnack inequalities for parabolic equations in general form with bounded measurable coefficients, Research Report R44-84, Centre for Math. Anal. Australian Nat. Univ., 1984; Fully non-linear parabolic differential equations of second order, Ph.D. dissertation, Australian Nat. Univ., 1985.
    • (1985) Centre for Math. Anal. Australian Nat. Univ
    • Reye, S.J.1
  • 14
    • 84972319992 scopus 로고
    • A vector identity for the Dirichlet tessellation
    • R. Sibson, A vector identity for the Dirichlet tessellation, Math. Proc. Cambridge Philos. Soc. 87 (1980), 151-155.
    • (1980) Math. Proc. Cambridge Philos. Soc , vol.87 , pp. 151-155
    • Sibson, R.1
  • 15
    • 0040030389 scopus 로고
    • Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations
    • N. S. Trudinger, Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations, Invent. Math. 61 (1980), 67-79.
    • (1980) Invent. Math , vol.61 , pp. 67-79
    • Trudinger, N.S.1
  • 16
    • 0000531653 scopus 로고
    • On an Aleksandrov-BakeVman type maximum principle for second-order parabolic equations, Comm
    • K. Tso, On an Aleksandrov-BakeVman type maximum principle for second-order parabolic equations, Comm. Partial Differential Equations 10 (1985), 543-553.
    • (1985) Partial Differential Equations , vol.10 , pp. 543-553
    • Tso, K.1


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