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Volumn 2000, Issue , 2000, Pages

The maximum principle for equations with composite coefficients

Author keywords

Elliptic differential equations; Harnack inequality; Holder estimates; Maximum principles; Oblique boundary conditions; Parabolic differential equations

Indexed keywords


EID: 52849107690     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (17)
  • 1
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    • Majorization of solutions of second-order linear equations
    • Russian
    • A. D. Aleksandrov, Majorization of solutions of second-order linear equations, Vestnik Leningrad Univ. 21 (1966), no. 1, 5-25 [Russian];
    • (1966) Vestnik Leningrad Univ. , vol.21 , Issue.1 , pp. 5-25
    • Aleksandrov, A.D.1
  • 3
    • 34147095757 scopus 로고
    • Boundary estimates for the first-order derivatives of a solution to a nondivergent parabolic equation with composite right-hand side and coefficients of lower-order derivatives
    • Russian
    • D. E. Apushkinskaya and A. I. Nazarov, Boundary estimates for the first-order derivatives of a solution to a nondivergent parabolic equation with composite right-hand side and coefficients of lower-order derivatives, Prob. Mat. Anal. 14 (1995), 3-27 [Russian];
    • (1995) Prob. Mat. Anal. , vol.14 , pp. 3-27
    • Apushkinskaya, D.E.1    Nazarov, A.I.2
  • 4
    • 34249756589 scopus 로고
    • English transi, in J. Math. Sci. 77 (1995), 3257-3276.
    • (1995) J. Math. Sci. , vol.77 , pp. 3257-3276
  • 7
    • 25644440526 scopus 로고    scopus 로고
    • On estimates of the maximum of a solution of a parabolic equation and estimates of the distribution of a semimartingale
    • Russian
    • N. V. Krylov, On estimates of the maximum of a solution of a parabolic equation and estimates of the distribution of a semimartingale, Mat. Sbornik 130 (172), 207-221[Russian];
    • Mat. Sbornik , vol.130 , Issue.172 , pp. 207-221
    • Krylov, N.V.1
  • 8
    • 42449156272 scopus 로고
    • English transi, in Math. USSR-Sbornik 58 (1987), 207-221.
    • (1987) Math. USSR-Sbornik , vol.58 , pp. 207-221
  • 9
    • 29244466262 scopus 로고
    • The Dirichlet problem for quasilinear elliptic equations with continuousl differentiable boundary data
    • G. M. Lieberman, The Dirichlet problem for quasilinear elliptic equations with continuousl differentiable boundary data, Comm. Partial Differential Equations 11 (1986), 167-229.
    • (1986) Comm. Partial Differential Equations , vol.11 , pp. 167-229
    • Lieberman, G.M.1
  • 10
    • 84966214859 scopus 로고
    • Local estimates for subsolutions and supersolutions of oblique derivativ problems for general second order elliptic equations
    • G. M. Lieberman, Local estimates for subsolutions and supersolutions of oblique derivativ problems for general second order elliptic equations, Trans. Amer. Math. Soc. 304 (1987), 343-353.
    • (1987) Trans. Amer. Math. Soc. , vol.304 , pp. 343-353
    • Lieberman, G.M.1
  • 11
    • 52849102198 scopus 로고
    • Ntermediate Schauder theory for second order parabolic equations III. the tus conditions
    • ntermediate Schauder theory for second order parabolic equations III. The tus conditions, Appl. Anal. 33 (1989), 25-43.
    • (1989) Appl. Anal. , vol.33 , pp. 25-43
  • 15
    • 0013005609 scopus 로고
    • Barriers for uniformly elliptic equations and the exterior cone condition
    • J. H. Michael, Barriers for uniformly elliptic equations and the exterior cone condition, J. Math. Anal. Appl. 79 (1981), 203-217.
    • (1981) J. Math. Anal. Appl. , vol.79 , pp. 203-217
    • Michael, J.H.1
  • 16
    • 27544505979 scopus 로고
    • Schauder's existence theorem for a-Dini continuous data
    • E. Sperner, Jr., Schauder's existence theorem for a-Dini continuous data, Ark. Mat. 19 (1981), 193-216.
    • (1981) Ark. Mat. , vol.19 , pp. 193-216
    • Sperner Jr., E.1
  • 17
    • 0000531653 scopus 로고
    • On an Aleksandrov-Bakelf man type maximum principle for second-order paraboli equations
    • K. Tso, On an Aleksandrov-Bakelf man type maximum principle for second-order paraboli equations, Comm. Partial Differential Equations 10 (1985), 543-553.
    • (1985) Comm. Partial Differential Equations , vol.10 , pp. 543-553
    • Tso, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.