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Volumn 57, Issue 7-8, 2004, Pages 971-1003

Hölder regularity and Harnack inequality for degenerate parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities

Author keywords

Blow up; Hardy Sobolev inequalities; Harnack inequality; Quasilinear parabolic equations

Indexed keywords

FUNCTIONS; LINEAR EQUATIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 2942628007     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.03.024     Document Type: Article
Times cited : (20)

References (12)
  • 1
    • 2442419488 scopus 로고    scopus 로고
    • Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities
    • Abdellaoui B., Colorado E., Peral I. Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities. J. Eur. Math. Soc. 6:2004;119-148.
    • (2004) J. Eur. Math. Soc. , vol.6 , pp. 119-148
    • Abdellaoui, B.1    Colorado, E.2    Peral, I.3
  • 3
    • 0000927436 scopus 로고
    • First order interpolation inequalities with weights
    • Caffarelli L., Kohn R., Nirenberg L. First order interpolation inequalities with weights. Compos. Math. 53(3):1984;259-275.
    • (1984) Compos. Math. , vol.53 , Issue.3 , pp. 259-275
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 5
    • 18744384671 scopus 로고    scopus 로고
    • Results on parabolic equations related to Caffarelli-Khon-Nirenberg inequalities
    • to appear
    • A. Dall'Aglio, D. Giachetti, I. Peral, Results on parabolic equations related to Caffarelli-Khon-Nirenberg inequalities, SIAM J. Math. Anal., to appear.
    • SIAM J. Math. Anal.
    • Dall'Aglio, A.1    Giachetti, D.2    Peral, I.3
  • 6
    • 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. Ration. Mech. Anal. 100:1988;129-147.
    • (1988) Arch. Ration. Mech. Anal. , vol.100 , pp. 129-147
    • DiBenedetto, E.1
  • 8
    • 0038982598 scopus 로고
    • Harnack estimates and extinction profile for weak solutions of certain parabolic equations
    • DiBenedetto E., Kwong Y.C. Harnack estimates and extinction profile for weak solutions of certain parabolic equations. Trans. Am. Math. Soc. 330:1992;783-811.
    • (1992) Trans. Am. Math. Soc. , vol.330 , pp. 783-811
    • DiBenedetto, E.1    Kwong, Y.C.2
  • 9
    • 0001634126 scopus 로고
    • Mean value Harnack inequalities for degenerate parabolic equations
    • Gutiérrez C.E., Wheeden R.L. Mean value Harnack inequalities for degenerate parabolic equations. Colloq. Math. LX/LXI:1990;157-194.
    • (1990) Colloq. Math. , vol.60-61 , pp. 157-194
    • Gutiérrez, C.E.1    Wheeden, R.L.2
  • 11
    • 2942551481 scopus 로고    scopus 로고
    • The Harnack inequality for nonlinear degenerate parabolic equations with measurable coefficients
    • I.I. Skrypnik, The Harnack inequality for nonlinear degenerate parabolic equations with measurable coefficients, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki (1) (1998) 57-59.
    • (1998) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki , Issue.1 , pp. 57-59
    • Skrypnik, I.I.1
  • 12
    • 2942613447 scopus 로고    scopus 로고
    • Nonnegative solutions of degenerate quasilinear parabolic equations with measurable coefficients
    • Skrypnik I.I. Nonnegative solutions of degenerate quasilinear parabolic equations with measurable coefficients. Dokl. Akad. Nauk. 362(2):1998;165-167.
    • (1998) Dokl. Akad. Nauk , vol.362 , Issue.2 , pp. 165-167
    • Skrypnik, I.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.