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Volumn 9, Issue 3, 1997, Pages 253-278

Resolvent estimates for Abel integral operators and the regularization of associated first kind integral equations

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EID: 0013243267     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1181076015     Document Type: Article
Times cited : (14)

References (25)
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    • Engl, H.W.1
  • 4
    • 0022601603 scopus 로고
    • On approximate computation of the values of the normal derivative of solutions to linear partial differential equations of second order with applications to Abel's integral equation
    • W. Gerlach and L. v.Wolfersdorf, On approximate computation of the values of the normal derivative of solutions to linear partial differential equations of second order with applications to Abel's integral equation, Z. Angew. Math. Meth. 66 (1986), 31-36.
    • (1986) Z. Angew. Math. Meth. , vol.66 , pp. 31-36
    • Gerlach, W.1    Wolfersdorf, L.V.2
  • 6
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    • Introduction to the theory and applications of Volterra operators in Hilbert Space
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    • (1970) American Math. Soc.
    • Gohberg, I.C.1    Krein, M.G.2
  • 11
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    • Regularization methods for large-scale problems
    • M. Hanke and P.C. Hansen, Regularization methods for large-scale problems, Surveys Math. Indust. 3 (1993), 253-315.
    • (1993) Surveys Math. Indust. , vol.3 , pp. 253-315
    • Hanke, M.1    Hansen, P.C.2
  • 12
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    • Linear differential equations in Banach space
    • 1st edition, Providence, Rhode Island
    • M.G. Krein, Linear differential equations in Banach space, 1st edition, Amer. Math. Soc., Providence, Rhode Island, 1971.
    • (1971) Amer. Math. Soc.
    • Krein, M.G.1
  • 14
    • 0040123205 scopus 로고
    • Similar Volterra operators and related problems of the theory of differential equations with fractional order
    • in Russian
    • M. Malamud, Similar Volterra operators and related problems of the theory of differential equations with fractional order, Publ. Moscow Math. Soc. 55, (1993), 73-148, in Russian.
    • (1993) Publ. Moscow Math. Soc. , vol.55 , pp. 73-148
    • Malamud, M.1
  • 20
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    • On functions of a positive operator
    • E.I. Pustyl'nik, On functions of a positive operator, Math. USSR Sb. 47 (1982), 27 42.
    • (1982) Math. USSR Sb. , vol.47 , pp. 27-42
    • Pustyl'nik, E.I.1
  • 21
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    • Pseudospectra of the convection-diffusion operator
    • S.C. Reddy and L.N. Trefethen, Pseudospectra of the convection-diffusion operator, SIAM J. Appl. Math. 54 (1994), 1634-1649.
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 1634-1649
    • Reddy, S.C.1    Trefethen, L.N.2
  • 23
    • 0041051601 scopus 로고
    • Regularization of ill-posed problems involving unbounded operators in Banach spaces
    • E. Schock and Vũ Quôc Phóng, Regularization of ill-posed problems involving unbounded operators in Banach spaces, Hokkaido Math. J. 20 (1991), 559-569.
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  • 25
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    • Vainikko, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.