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    FULL LIST OF PUBLICATIONS
    Duduchava Roland

    Number of publications: 103 (including 4 monographs and 44 publications in Journals with the impact-factor).
    Index of citation: Harzig's Publish or Perish, as for 20.04.2012):
    854 citations under Duduchava,
    35 citations under Duducava,
    104 citations in 25 books,
    993 citations in total,
    h-index 16,
    G-index 25

    Index of citation:  Thomson-Reuter, as for 20.04.2012):
    267 citations (181 without self-citing),
    104 citations in 25 books,
    361 citations} in total,
    h-index 10

    MONOGRAPHS

    M1.  R.Duduchava, Integral equations of convolution type with discontinuous presymbols, singular integral equations with fixed singularities and their applications to some problems of mechanics, Trudi Tbiliskogo Mathematicheskogo Instituta Academii Nauk Gruzinskoi SSR 60, 1-135, 1979 (Russian).

    M2.  R.Duduchava,  Integral equations with fixed singularities, Teubner, Leipzig, 1979.

    M3. R.Duduchava, B.Silbermann, Boundary Value Problems in Domains with Peaks, Memoirs on Differential Equations and Mathematical Physics 21, 2000, 1-121. Pdf-download  

    M4.  T.~Buchukuri, O.~Chkadua, R.~Duduchava, D.~Natroshvili,  Interface crack problems for metallic-piezoelectric, Memoirs on Differential Equations and Mathematical Physics 55, 2012, 1-150.   Pdf-download  

    PAPERS
    1. R.Duduchava: On singular integral operators in Hölder spaces with weights, Dokladi Akademii Nauk SSSR 191, 16-19, 1970 (Russian).
    2. R.Duduchava: On the boundedness of the singular integral operator in Hölder spaces with weights, Matematicheskie Issledovania 5, 1, 56-76, Kishinjov, Stiinca, 1970 (Russian).
    3. R.Duduchava: Singular integral operators in Hölder spaces with weights I. Hölder coefficients, Matematicheskie Issledovania 5, 2, 104-124, Kishinjov, Stiinca, 1970 (Russian).
    4. R.Duduchava: Singular integral operators in Hölder spaces with weights, II. Piecewise Hölder coefficients, Matematicheskie Issledovania 5, 3, 57-82, Kishinjov, Stiinca, 1970 (Russian).
    5. R.Duduchava: On some boundary value problems for systems of discrete Wiener-Hopf equations, Matematicheskie Issledovania 7, 2, 234-240, Kishinjov, Stiinca, 1972 (Russian).
    6. R.Duduchava: On discrete equations of Wiener-Hopf composed from Fourier coefficients of piecewise-Wiener functions, Dokladi Akademii Nauk SSSR 207, 1273-1276, 1972 (Russian); also in: Soviet Mathematics, Doklady 13, 1903-1907, 1972.
    7. R.Duduchava: On discrete Wiener-Hopf equations in $\ell^p$ spaces with weight, Soobshenia Akademii Nauk Gruzinskoi SSR 67, 1, 17-20, 1972 (Russian).
    8. R.Duduchava: On algebras of singular integral operators in spaces of Hölder functions with weights, Soobshenia Akademii Nauk Gruzinskoi SSR 65, 1, 25-28, 1972 (Russian).
    9. R.Duduchava: Wiener-Hopf integral operators with discontinuous symbols, Dokladi Akademii Nauk SSSR 211, 1273-1276, 1973 (Russian); also in: Soviet Mathematics, Doklady 14, 1001-1005, 1973.
    10. R.Duduchava: Algebra of one dimensional singular integral operators in spaces of Hölder functions with weight, Trudi Tbiliskogo Mathematicheskogo Instituta Academii Nauk Gruzinskoi SSR 41, 19-52, 1973 (Russian).
    11. R.Duduchava: On Nöther theorems for singular integral equations; in: Proceedings of Symposium on Mechanics and Related Problems of Analysis, v.1, Metsniereba, Tbilisi, 19-52, 1973 (Russian).
    12. R.Duduchava: Singular integral operators on piecewise-smooth lines, Soobshenia Akademii Nauk Gruzinskoi SSR 71, 3, 553-556, 1973 (Russian).
    13. R.Duduchava: On multidimensional convolution equations composed from Fourier coefficients of piecewise-smooth functions, Soobshenia Akademii Nauk Gruzinskoi SSR 74, 3, 277-280, 1974 (Russian).
    14. R.Duduchava: Discrete convolution operators on symmetric spaces of sequences with weights, in: Tresses of the Conference of Young Scientists and Postgraduates, Tbilisi State University, I.Vekua Institute of Applied Mathematics, pp. 63-64., Tbilisi University Press, 1974.
    15. R.Duduchava: Singular integral equations with unbounded coefficients Trudi Tbiliskogo Mathematicheskogo Instituta Academii Nauk Gruzinskoi SSR 44, 72-78, 1974 (Russian).
    16. R.Duduchava: On convolution integral operators with discontinuous coefficients, Dokladi Akademii Nauk SSSR 218, 2, 264-267, 1974 (Russian); also in: Soviet Mathematics, Doklady 15, 1302-1306, 1975.
    17. R.Duduchava: On bisingular integral operators and convolution operators on a quadrant, Dokladi Akademii Nauk SSSR 221, 2, 279-282, 1975 (Russian); also in: Soviet Mathematics, Doklady 16, 330-334, 1975.
    18. R.Duduchava: On Wiener-Hopf integral operators, Mathematishe Nachrichten 65, 1, 59-82, 1975 (Russian).
    19. R.Duduchava: On convolution integral operators with discontinuous symbols, Trudi Tbiliskogo Mathematicheskogo Instituta Academii Nauk Gruzinskoi SSR 50, 34-41, 1975 (Russian).
    20. R.Duduchava: On discrete Wiener-Hopf equations, Trudi Tbiliskogo Mathematicheskogo Instituta  Academii Nauk Gruzinskoi SSR 50, 42-59, 1975 (Russian).
    21. R.Duduchava: Bisingular integral operators and boundary value problems of the theory of analytic functions in spaces of distributions, Dokladi Akademii Nauk SSSR 224, 5, 996-999, 1975 (Russian); also in: Soviet Mathematics, Doklady 17, 1324-1328, 1976.
    22. R.Duduchava: Convolution integral operators on a quadrant with discontinuous symbols, Izvestia Akademii Nauk SSSR, Ser. Matem. 40, 2, 388-412, 1976 (Russian); also in: Mathematics USSR, Izvestia 10, 371-392, 1976.
    23. R.Duduchava: On bisingular integral operators with discontinuous coefficients, Matematicheskii Sbornik 101, 4, 584-609, 1976 (Russian); also in: Mathematics USSR, Sbornik 30, 515-537, 1976.
    24. R.Duduchava: On singular integral operators on piecewise smooth lines; in: Research Notes in Mathematics, v.8, "Functional Theoretic Methods in Differential Equations", Pitman, London, pp. 109-131, 1976.
    25. R.Duduchava, V.Maz'ya: Uniqueness theorems for the integral equations of a rectangular thin airfoil, Soobshenia Akademii Nauk Gruzinskoi SSR 87, 1, 53-56, 1977 (Russian).
    26. R.Duduchava: On convolution integral operators with discontinuous coefficients, Mathematishe Nachrichten 79, 75-98, 1977 (Russian).
    27. R.Duduchava: Discrete convolution operators on the quarter plane and their indices, Izvestia Akademii Nauk SSSR, Ser. Matem. 41, 5, 1125-1137, 1977 (Russian); also in: Mathematics USSR, Izvestia 11, 1072-1084, 1977.
    28. R.Duduchava: Singular integral equations with fixed singularities in kernel on piecewise-smooth lines, Soobshenia Akademii Nauk Gruzinskoi SSR 91, 2, 293-296, 1978 (Russian).
    29. R.Duduchava: On some integral equations with singular kernels, Soobshenia Akademii Nauk Gruzinskoi SSR 92, 1, 21-24, 1978 (Russian).
    30. R.Duduchava: Integral equations of convolution type with discontinuous coefficients, Soobshenia Akademii Nauk Gruzinskoi SSR 92, 2, 281-284, 1978 (Russian).
    31. R.Duduchava: On the index of a bisingular integral operator, I., Mathematishe Nachrichten 91, 431-460, 1979 (Russian).
    32. R.Duduchava: On the index of a bisingular integral operator, II., Mathematishe Nachrichten 92, 289-307, 1979 (Russian).
    33. R.Duduchava, B.Khvedelidze: Integral equation of convolution type, Mathematical Encyclopaedia v. 2, 598-600, Sovetskaya Entsiklopedia, Moscow, 1979.
    34. R.Duduchava: On the solution of convolution equations over the quadrant, Matematicheskie zametki 27, 3, 415-427, 1980 (Russian); also in: Mathematical Notes 27, 207-213, 1980.
    35. R.Duduchava, A.Saginashvili: Integral operators of convolution on the semi-axes with semi-almost periodic presymbols, Soobshenia Akademii Nauk Gruzinskoi SSR 98, 1, 21-24, 1980 (Russian).
    36. R.Duduchava, A.Saginashvili: Convolution integral equations on the semi-axes with semi-almost periodic symbols, Differentialnie Uravnenia 17, 301-312, 1981 (Russian); also in: Differential Equations USSR 17, 207-216, 1981.
    37. R.Duduchava: An application of singular integral operators to some problems of elasticity, Integral Equations and Operator Theory 5, 475-489, 1982.
    38. R.Duduchava: On multidimensional singular integral equations. Preliminary theorems, Soobshenia Akademii Nauk Gruzinskoi SSR 109, 2, 241-244, 1983 (Russian).
    39. R.Duduchava: On multidimensional singular integral equations. The basic theorems, Soobshenia Akademii Nauk Gruzinskoi SSR 111, 3, 465-468, 1983 (Russian).
    40. R.Duduchava, T.Latsabidze: Index of singular integral equations with complex conjugated functions, Soobshenia Akademii Nauk Gruzinskoi SSR 115, 1, 1-4, 1984 (Russian).
    41. R.Duduchava: On multidimensional singular integral operators I. The half-space case, Journal of Operator Theory 11, 41-76, 1984.
    42. R.Duduchava: On multidimensional singular integral operators II. The case of manifolds, Journal of Operator Theory 11, 199-214, 1984.
    43. R.Duduchava: On general singular integral operators of the plane theory of elasticity, Rendiconti Sem. Mat. Univers. e Politecn. Torino 42, 15-41, 1984.
    44. R.Duduchava, L.Rodino: The Riemann-Hilbert boundary value problem in a bicylinder, Bulletin della Unioni Mathematica Italiana 4-A, 6, 327-336, 1985.
    45. R.Duduchava, T.Latsabidze: On the index of singular integral equations with complex conjugated functions on piecewise-smooth lines, Trudi Tbilisskogo Matematicheskogo Instituta im. A.M.Razmadze Academii Nauk Gruzinskoi SSR 76, 40-59 (1985). (Russian).
    46. R.Duduchava: General singular integral Equations and basic theorems of the plane theory of elasticity, Trudi Tbiliskogo Mathematicheskogo Instituta Academii Nauk Gruzinskoi SSR 82, 45-89, 1986 (Russian).
    47. R.Duduchava: On algebras generated by convolutions and discontinuous functions, Integral Equations and Operator Theory 10, 505-530, 1987.
    48. R.Duduchava, R.Schneider: The algebra of non-classical singular integral operators on a half-space, Integral Equations and Operator Theory 10, 531-553, 1987.
    49. R.Duduchava, G.Mjzavia: On the regularization of the singular integral operators; in: Abstracts of the conference "Operator Theory, Advances and Applications", Calgary, August, 1988.
    50. R.Duduchava, D.Natroshvili, E.Shargorodsky: On continuity of generalized solutions of basic boundary value problems of the mathematical theory of cracks, Soobshenia Akademii Nauk Gruzinskoi SSR 135, 3, 497-500, 1989 (Russian).
    51. R.Duduchava, D.Natroshvili, E.Shargorodsky: Basic boundary value problems of the mathematical theory of cracks for anisotropic media, Proceedings of the extended seminar of I.Vekua Institute of Applied Mathematics, Tbilisi 4, 2, 87-90, 1989 (Russian).
    52. R.Duduchava, D.Natroshvili, E.Shargorodsky:Boundary value problems of the mathematical theory of cracks; in: Proceedings of I.Vekua Institute of Applied Mathematics, Some problems of Elasticity Theory 39, pp. 68-84. I. Vekua Institute of Applied Mathematics, Tbilisi University. Tbilisi University Press, 1990.
    53. R.Duduchava, E.Schargorodsky: On some singular integral operators with fixed singularities, Trudi Tbiliskogo Mathematicheskogo Instituta Academii Nauk Gruzinskoi SSR 93, 3-35, 1990 (Russian).
    54. R.Duduchava, T.Latsabidze, A.Saginashvili:Singular integral operators on curves with cusps, Soobshenia Akademii Nauk Gruzinskoi SSR 146, 1, 21-24, 1992 (Russian).
    55. R.Duduchava, F.-O.Speck: Bessel potential operators for the quarter plane, Applicable Analysis 45, 49-68, 1992.
    56. R.Duduchava: Wiener-Hopf Equations with the transmission property, Integral Equations and Operator Theory 15, 412-426, 1992.
    57. R.Duduchava, F.-O.Speck: Pseudo-differential operators on compact manifolds with Lipschitz boundary, Mathematische Nachrichten 160, 149-191, 1993. Pdf-download
    58. R.Duduchava, N.Krupnik: On the norm of singular integral operator on curves with cusps. Integral Equations Operator Theory, 20, 376-382, 1994.
    59. R.Duduchava, D.Natroshvili, E.Shargorodsky: Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts I. Georgian Mathematical journal,2, 123-140, 1995. Pdf-download
    60. R.Duduchava, D.Natroshvili, E.Shargorodsky: Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts II. Georgian Mathematical journal,2, 259-276, 1995. Pdf-download
    61. R.Duduchava, A.Saginashvili, E.Shargorodsky: On two-dimensional singular integral operators with shift. Proceedings of A.Razmadze Math. Inst., 103, 1-13, 1995.
    62. R.Duduchava, S.Prössdorf: on the approximation of singular integral equations by equations with smooth kernels, Integral Equations and Operator Theory, 21, 223-237, 1995. Pdf-download
    63. R.Duduchava, T.Latsabidze, A.Saginashvili: Singular integral operators with the complex conjugation on curves with cusps. Integral Equations and Operator Theory, 22, 1-36, 1995.
    64. A. Bastos, A.dos Santos, R.Duduchava: Finite interval convolution operators in the Bessel potential spaces , Mathematische achrichten, 173, 49-63, 1995.
    65. R.Duduchava, W.Wendland:  The Wiener-Hopf method for systems of pseudodifferential equations and its application to crack problems, Integral Equations and Operator Theory 23, 294-335, 1995. Pdf-download
    66. R.Duduchava, A.M. Sändig, W.L. Wendland: The Wiener-Hopf method in crack and interface problems Zeitschrift für Angewandte Mathematik und Mechanic (ZAMM) 75/2, 113-116, 1996.
    67. R.Duduchava, A.Saginashvili, E.Shargorodsky: On two-dimensional singular integral operators with a conformal Carleman shift, Journal of Operator Theory 37, 263-279, 1997.
    68. R.Duduchava: Bessel potential operator, Encyclopaedia of Mathematics, Supplement Volume I, Ed. Prof. M. Hazewinkel, Kluwer Acad. Publ., 116-117, 1997.
    69. R.Duduchava, D.Natroshvili: Mixed crack type problems in anisotropic elasticity, Mathematische Nachrichten 191, 83-107, 1998. Pdf-download
    70. O.Chkadua, R.Duduchava: Asymptotics of solutions to some boundary value problems of elasticity with cuspidal edges, Memoirs on Mathematical Physics and Differential Equations 15, 1998, 29-58.
    71. O.Chkadua, R.Duduchava: Asymptotics of solutions to pseudodifferential equations, Bulletin of the Academy of sciences of Georgia 158, 2, 207-210, 1998.
    72. O.Chkadua, R.Duduchava: Asymptotics of potential-type functions, Bulletin of the Academy of sciences of Georgia 159, 1, 23-27, 1999.
    73. R.Duduchava, E.Shargorodsky, N.Krupnik: An algebra of integral operators with fixed singularities in kernels, Journal of Operator Theory and Integral Equations 33, 406-425, 1999.
    74. O.Chkadua, R.Duduchava: Asymptotics of solutions to the crack problem, Bulletin of the Academy of sciences of Georgia 159, 3, 389-391, 1999.
    75. R.Duduchava, A.M. Sändig, W.L. Wendland: Interface cracks in anisotropic composites, Mathematical Methods in Applied Sciences, 22, 1413-1446, 1999. Pdf-download
    76. R.Duduchava, D.Kapanadze: On the Prandtl equation, Georgian Mathematical Journal v. 6 (1999), no.6, 525-536.
    77. O.Chkadua, R.Duduchava: Asymptotics of functions represented by potentials, Russian Journal of Mathematical Physics, 7, 1, 15-47, 2000. Pdf-download
    78. O.Chkadua, R.Duduchava: Pseudodifferential equations on manifolds with boundary: Fredholm property and asymptotics, Mathematische Nachrichten 222, 79-139, 2001. Pdf-download
    79. R.Duduchava, F.-O.Speck: Singular integral equations in special weighted spaces, Georgian Mathematical Journal 7, 633-642, 2000. Pdf-download
    80. R.Duduchava: The Green formula and layer potentials, Integral Equations and Operator Theory 41, 2, 2001, 127-178. Pdf-download
    81. L.P. Castro, R. Duduchava, F.-O. Speck: Singular integral equations on piecewise smooth curves in spaces of smooth functions, Operator Theory, Advances and Applications 135, 107-144. Birkhauser varlag, 2002. Pdf-download
    82. M.Costabel, M.Dauge, R.Duduchava: Asymptotics without logarithmic terms for crack problems, Communications in Partial Differential Equations 28, 869-926, 2003. Pdf-download
    83. L.P. Castro, R. Duduchava, F.-O. Speck:  Localization and minimal normalization of mixed boundary value problem. In Factorization, Singular Operators and Related Problems, Proceedings of the Conference in Honour of Professor Georgii Litvinchuk at Funchal, Portugal 2002 (Eds. S. Samko et alt.), Kluwer, Dordrecht 2003, 73-100. Pdf-download
    84. T.Buchukuri, O.Chkadua, R.Duduchava:  Crack-type boundary value problems of electroelasticity. In: Operator Theoretical Methods and Applications to Mathematical Physics. The Erhard Meister Memorial Volume (Eds. I. Gohberg et alt.),Operator Theory: Advances and Applications, Vol. 147, Birkhäuser, Basel 2004, 189-212. Pdf-download
    85. R.Duduchava, S. Rjasanow:  Mapping Properties of the Boltzmann Collision Operator, Integral Equations and Operator Theory 52, 1, 2005, 61-84. Pdf-download
    86. R.Duduchava, R. Kirsch, S. Rjasanow: On estimates of the Boltzmann collision operator with cut-off, Journal of Mathematical Fluid Mechanics 7, 2005, 1-25. Pdf-download
    87. L.P. Castro, R. Duduchava, F.-O. Speck: Finite interval convolution operators with transmission property, Integral Equations and Operator Theory 52, 2005, 165-179. Pdf-download
    88. R.Duduchava, D.Mitrea, M.Mitrea: Differential operators and boundary value problems on surfaces. Mathematische Nachrichten 9-10, 2006, 996-1023. Pdf-download
    89. L. Castro, R. Duduchava and F.-O. Speck: Asymmetric factorizations of matrix functions on the real line. I. Simonenko anniversary volume (eds. N. Vasilevskii et al), Birkhäuser, OT: Advances and Applications  170, 2006, 53-74.  . Pdf-download
    90. T.Buchukuri, R.Duduchava, L.Sigua: On interaction of electromagnetic waves with infinite bianisotropic layered slab. Mathematische Nachrichten 280, No. 9-10, 2007, 971-983.Pdf-download
    91. L. Castro, R. Duduchava and F.-O. Speck:  Solvability of Singular Integro-Differential Equations with Multiple Complex Shifts. Compl. anal. oper. theory 2 (2008), 327-343 (G. Litvinchuk’s memorial volume; eds. N. Vasilevskii et al).Pdf-download
    92. R. Duduchava, D. Kapanadze: Extended Normal Vector Field and the Weingarten Map on Hypersurfaces, Georgian Mathematical Journal 15 (2008), No. 3, 485-500.Pdf-download
    93. T. Buchukuri, R. Duduchava, D. Kapanadze, D. Natroshvili: On the uniqueness of a solution to an anisotropic Maxwell system,  Operator Theory: Advances and Applications, Vol. 203, (2009), 137-164.Pdf-download
    94. T. Buchukuri, O. Chkadua, R. Duduchava, D. Natroshvili: Interface cracks problems in composites with piezoelectric and thermal effects, pp. 1-10. Proceedings of 2009 ASME International   Mechanical Engineering Congress, IMECE-2009, Lake Buena Vista, Florida, USA.Pdf-download
    95. R. Duduchava: Partial differential equations on hypersurfaces, Memoirs on Differential Equations and Mathematical Physics 48, 2009, 19-74.Pdf-download
    96. R. Duduchava, Lions's lemma, Korn's inequalities and Lam\'e operator on hypersurfaces, Operator Theory: Advances and Applications 210, 43-77, 2010 Springer AG, Basel. Pdf-download

    97. R. Duduchava: A revised asymptotic model of a shell.  Memoirs on Differential Equations and Mathematical Physics 52, 2011, 65-108  Pdf-download
    98. L. Castro, R. Duduchava, D. Kapanadze: Electromagnetic scattering by cylindrical orthotropic waveguide irises Georgian Mathematical Journal  99, 2011, 99-120. Pdf-download
    99. R. Duduchava: Continuing functions from a hypersurface with the boundary. Proceedings of A. Razmadze Mathematical Institute, 52, 2011, 65-108. Pdf-download
          1. PREPRINTS
            P1.
            R.Duduchava, D.Elliott, W.L. Wendland:
            The spline collocation method for Mellin convolution equations, Universität Stuttgart, Sonderforschungsbereich 404, Bericht96/04, 1-20, 1996. Pdf-download
            P2.
            R.Duduchava, A.M. Sändig, W.L. Wendland:
            Cracks on the interface of anisotropic composite bodies, Asymptotics of solutions, Universität Stuttgart, Preprint 95-9, 1-71, 1995. Pdf-download
            P3.
            R.Duduchava:
            Boundary value problems on a smooth surface with the smooth boundary. Universität Stuttgart, Preprint 2002-5, 1-19, 2002. Pdf-download
            P4.
            R.Duduchava, D.Kapanadze, B. W. Schulze:
            Asymptotic of potentials in the edge calculus. University of Potsdam, Preprint 2003. Pdf-download

            LECTURES

            L1.
            R.Duduchava:
            Pseudodifferential operators with applications to some problems of mathematical physics (Lectures st Stuttgart University, Fall semester 2001-2002). Universität Stuttgart, Preprint 2002-6, 1-176, 2002.
            L2.
            R. Duduchava:
            Vorlesungen "Elementare Differentialgeometrie". Script., 2006.download pdf.zip-file

          1. Curriculum Vitae
          2. Coauthors
          3. To the Front page
          4. Publication list: pdf-file

            Last update: 25.01.2011