On the smoothness of the solution of multidimensional weakly singular integral equations

Mathematics of the USSR - Sbornik

Volumn 68, Issue 2, 1991, Pages 585-600

  Vainikko, G M ^a  

^a NONE

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EID: 84957169803     PISSN: 00255734     EISSN: 21695288     Source Type: Journal    
DOI: 10.1070/SM1991v068n02ABEH002112     Document Type: Article

References (17)

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3. A. Pedas 1979 On the smoothness of the solution of an integral equation with weakly singular kernel Tartu Riikl. Kl. Toimetised 492 56-68 (Russian)
4. G. Vainikko and A. Pedas 1980/81 The properties of solutions of weakly singular integral equations J. Austral. Math. Soc. B 22 419-430
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6. G. Vainikko, A. Pedas and P. Uba 1984 Methods for solving weakly singular integral equations (Izdat. Tartu Gos. Univ., Tartu.) (Russian)
7. Juhani Pitköranta 1980 Estimates for the derivatives of solutions to weakly singular Fredholm integral equations SIAM J. Math. Anal. 11 952-968
8. Juhani Pitköranta 1979 On the differential properties of solutions to Fredholm equations with weakly singular kernels J. Inst. Math. Appl. 24 109-119
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12. G. I. Marchuk and V. I. Lebedev 1984 Numerical methods in neutron transport theory (Harwood Academic Publ., Chur) English transl.
13. G. M. Vainikko 1986 On smoothness of solutions of multidimensional integral transport equations, Numerical Methods in the Solution of the Transport Equation (Seminar Abstracts) (Acad. Sci. Estonian SSR, Tartu) p 40-43 (Russian)
14. L. V. Kantorovich and G. P. Akilov 1977 Functional analysis 2nd rev. ed. ("Nauka", Moscow)
15. L. V. Kantorovich and G. P. Akilov 1982 Functional analysis (Pergamon Press) English transl.
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17. V. S. Vladimirov 1971 The equations of mathematical physics (Dekker, New York) English transl. of 1st ed