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Volumn 200, Issue 2, 2008, Pages 181-209

Harnack estimates for quasi-linear degenerate parabolic differential equations

Author keywords

Primary 35K65, 35B65; Secondary 35B45

Indexed keywords


EID: 45449116304     PISSN: 00015962     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11511-008-0026-3     Document Type: Article
Times cited : (152)

References (17)
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    • Aronson, D.G.1    Serrin, J.2
  • 2
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    • De Giorgi, E., Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari. Mem. Accad. Sci. Torino. Cl. Sci. Fis. Mat. Nat., 3 (1957), 25-43.
    • (1957) Mem. Accad. Sci. Torino. Cl. Sci. Fis. Mat. Nat. , vol.3 , pp. 25-43
    • De Giorgi, E.1
  • 3
    • 0348034313 scopus 로고
    • Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations
    • DiBenedetto, E., Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations. Arch. Rational Mech. Anal., 100 (1988), 129-147.
    • (1988) Arch. Rational Mech. Anal. , vol.100 , pp. 129-147
    • Dibenedetto, E.1
  • 6
    • 84961469235 scopus 로고
    • Hölder estimates for nonlinear degenerate parabolic systems
    • DiBenedetto, E. & Friedman, A., Hölder estimates for nonlinear degenerate parabolic systems. J. Reine Angew. Math., 357 (1985), 1-22.
    • (1985) J. Reine Angew. Math. , vol.357 , pp. 1-22
    • Dibenedetto, E.1    Friedman, A.2
  • 8
    • 1542530155 scopus 로고
    • Extension à l'équation de la chaleur d'un théorème de A. Harnack
    • Hadamard, J., Extension à l'équation de la chaleur d'un théorème de A. Harnack. Rend. Circ. Mat. Palermo, 3 (1954), 337-346.
    • (1954) Rend. Circ. Mat. Palermo , vol.3 , pp. 337-346
    • Hadamard, J.1
  • 11
    • 84980080977 scopus 로고
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    • Moser, J., On Harnack's theorem for elliptic differential equations. Comm. Pure Appl. Math., 14 (1961), 577-591.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 577-591
    • Moser, J.1
  • 12
    • 84980078895 scopus 로고
    • A Harnack inequality for parabolic differential equations
    • - A Harnack inequality for parabolic differential equations. Comm. Pure Appl. Math., 17 (1964), 101-134.
    • (1964) Comm. Pure Appl. Math. , vol.17 , pp. 101-134
    • Moser, J.1
  • 13
    • 84980178619 scopus 로고
    • On a pointwise estimate for parabolic differential equations
    • - On a pointwise estimate for parabolic differential equations. Comm. Pure Appl. Math., 24 (1971), 727-740.
    • (1971) Comm. Pure Appl. Math. , vol.24 , pp. 727-740
    • Moser, J.1
  • 14
    • 0001680091 scopus 로고
    • Continuity of solutions of parabolic and elliptic equations
    • Nash, J., Continuity of solutions of parabolic and elliptic equations. Amer. J. Math., 80 (1958), 931-954.
    • (1958) Amer. J. Math. , vol.80 , pp. 931-954
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  • 15
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    • (1954) Rend. Sem. Mat. Univ. Padova , vol.23 , pp. 422-434
    • Pini, B.1
  • 16
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    • Serrin, J., Local behavior of solutions of quasi-linear equations. Acta Math., 111 (1964), 247-302.
    • (1964) Acta Math. , vol.111 , pp. 247-302
    • Serrin, J.1
  • 17
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    • Pointwise estimates and quasilinear parabolic equations
    • Trudinger, N. S., Pointwise estimates and quasilinear parabolic equations. Comm. Pure Appl. Math., 21 (1968), 205-226.
    • (1968) Comm. Pure Appl. Math. , vol.21 , pp. 205-226
    • Trudinger, N.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.