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Volumn 14, Issue 1, 2011, Pages 35-43

The harnack inequality for the Riemann-Liouville fractional derivation operator

Author keywords

Fractional derivative; Fractional differential equation; Harnack inequality

Indexed keywords


EID: 79551624762     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-14-03     Document Type: Article
Times cited : (8)

References (16)
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    • Harnack inequalities for non-local operators of variable order
    • R. F. BASS, M. KASSMANN, Harnack inequalities for non-local operators of variable order, Trans. Amer. Math. Soc. 357, 2 (2005), 837-850.
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    • Bass, R.F.1    Kassmann, M.2
  • 4
    • 0003423680 scopus 로고
    • Partial differential equations
    • E. DIBENEDETTO, Partial differential equations, Birkhäuser, 1995.
    • (1995) Birkhäuser
    • Dibenedetto, E.1
  • 6
    • 1542530155 scopus 로고
    • Extension àl'équation de la chaleur d'un théorème de A. Harnack
    • J. HADAMARD, Extension àl'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
  • 7
    • 38849155076 scopus 로고    scopus 로고
    • Harnack inequalities: An introduction
    • Art. ID 81415
    • M. KASSMANN, Harnack inequalities: an introduction, Bound. Value Probl. 2007, Art. ID 81415, 21 pp.
    • (2007) Bound. Value Probl. , pp. 21
    • Kassmann, M.1
  • 9
    • 33847309315 scopus 로고    scopus 로고
    • Theory and applications of fractional differential equations
    • A. A. KILBAS, H. M. SRIVASTAVA, J. J. TRUJILLO, Theory and applications of fractional differential equations, Elsevier, 2006.
    • (2006) Elsevier
    • Kilbas, A.A.1    Srivastava, H.M.2    Trujillo, J.J.3
  • 11
    • 84980078895 scopus 로고
    • A harnack inequality for parabolic differential equations
    • J. MOSER, 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
    • 1542677723 scopus 로고
    • Sulla soluzione generalizzata di wiener per il primo problema di valori al contorno nel caso parabolico
    • B. PINI, Sulla soluzione generalizzata di Wiener per il primo problema di valori al contorno nel caso parabolico, Rend. Sem. Mat. Univ. Padova, 23 (1954), 422-434.
    • (1954) Rend. Sem. Mat. Univ. Padova , vol.23 , pp. 422-434
    • Pini, B.1
  • 15
    • 79551645795 scopus 로고    scopus 로고
    • A weak harnack inequality for fractional differential equations
    • R. ZACHER, A weak Harnack inequality for fractional differential equations, J. Integral Equations Appl., 19 (2007), 209-232.
    • (2007) J. Integral Equations Appl. , vol.19 , pp. 209-232
    • Zacher, R.1
  • 16
    • 50249156822 scopus 로고    scopus 로고
    • Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients
    • R. ZACHER, Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients, J. Math. Anal. Appl., 348 (2008), 137-149.
    • (2008) J. Math. Anal. Appl. , vol.348 , pp. 137-149
    • Zacher, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.