Edit Profile (opens in new tab) Duduchava, Roland Co-Author Distance Author ID: duduchava.roland Published as: Duduchava, Roland; Duduchava, R.; Duduchava, R. V.; Duducava, R. V.; Duduchava, L. Roland more...less Homepage: http://www.rmi.ge/~dudu/RD_main_E.htm External Links: MGP · Google Scholar · ResearchGate · Math-Net.Ru Documents Indexed: 132 Publications since 1970, including 1 Book and 2 Additional arXiv Preprints 4 Contributions as Editor Reviewing Activity: 148 Reviews Biographic References: 3 Publications Co-Authors: 42 Co-Authors with 78 Joint Publications 1,221 Co-Co-Authors all top 5 Co-Authors 58 single-authored 13 Chkadua, Otar 10 Buchukuri, Tengiz 10 Kapanadze, David 10 Speck, Frank-Olme 9 Natroshvili, David 9 Shargorodsky, Eugene 8 Pinheiro de Castro, Luís Filipe 7 Saginashvili, A. I. 6 Tsaava, Medea 4 Latsabidze, T. I. 3 Tephnadze, George 3 Wendland, Wolfgang L. 2 Grudsky, Sergei Mikhailovich 2 Kaashoek, Marinus Adriaan 2 Krupnik, Naum Yakovlevich 2 Rjasanow, Sergej 2 Sändig, Anna-Margarete 2 Tsutsunava, T. S. 1 Bastos, Maria Amélia 1 Bauer, Wolfram 1 Cardona, Duván 1 Costabel, Martin 1 Dauge, Monique 1 Didenko, Victor D. 1 dos Santos, António Ferreira 1 Gogishvili, Guram 1 Gohberg, Israel 1 Hendrickx, Arne 1 Kirsch, Ralf 1 Kverghelidze, Nino 1 Maz’ya, Vladimir Gilelevich 1 Mitrea, Dorina 1 Mitrea, Marius 1 Prössdorf, Siegfried 1 Rabinovich, Vladimir Samuilovich 1 Rodino, Luigi 1 Ruzhansky, Michael V. 1 Schneider, Reinhold 1 Sigua, Levan 1 Silbermann, Bernd 1 Vasilevski, Nikolai Leonidovich 1 Vinnikov, Victor L. all top 5 Serials 13 Integral Equations and Operator Theory 13 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 12 Georgian Mathematical Journal 12 Memoirs on Differential Equations and Mathematical Physics 11 Proceedings of A. Razmadze Mathematical Institute 10 Mathematische Nachrichten 6 Soviet Mathematics. Doklady 4 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 3 Mathematical Methods in the Applied Sciences 3 Journal of Operator Theory 3 Bulletin of the Georgian Academy of Sciences 3 Operator Theory: Advances and Applications 2 Mathematics of the USSR. Izvestiya 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Complex Variables and Elliptic Equations 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Matematicheskie Zametki 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Rendiconti del Seminario Matematico 1 Journal of Integral Equations and Applications 1 Communications in Partial Differential Equations 1 Mathematics of the USSR, Sbornik 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Soobshcheniya Akademii Nauk Gruzii 1 Russian Journal of Mathematical Physics 1 European Mathematical Society Newsletter 1 Journal of Mathematical Fluid Mechanics 1 Trudy Instituta Prikladnoĭ Matematiki Imeni I. N. Vekua 1 Teubner-Texte zur Mathematik 1 Complex Analysis and Operator Theory 1 International Journal of Differential Equations 1 Advances in Pure and Applied Mathematics 1 Annals of Functional Analysis 1 Transactions of A. Razmadze Mathematical Institute all top 5 Fields 83 Operator theory (47-XX) 67 Integral equations (45-XX) 47 Partial differential equations (35-XX) 19 Mechanics of deformable solids (74-XX) 15 Functional analysis (46-XX) 7 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Optics, electromagnetic theory (78-XX) 4 Potential theory (31-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Numerical analysis (65-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Fluid mechanics (76-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 86 Publications have been cited 633 times in 344 Documents Cited by ▼ Year ▼ Integral equations of convolution type with discontinuous presymbols, singular integral equations with fixed singularities and their applications to some problems of mechanics. Zbl 0429.45002 Duduchava, R. V. 70 1979 Integral equations in convolution with discontinuous presymbols. Singular integral equations with fixed singularities, and their applications to some problems of mechanics. Zbl 0439.45002 Duduchava, Roland 40 1979 Asymptotics without logarithmic terms for crack problems. Zbl 1103.35321 Costabel, Martin; Dauge, Monique; Duduchava, Roland 34 2003 The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems. Zbl 1126.35368 Duduchava, R.; Wendland, W. L. 31 1995 Differential operators and boundary value problems on hypersurfaces. Zbl 1112.58020 Duduchava, L. Roland; Mitrea, Dorina; Mitrea, Marius 28 2006 The Green formula and layer potentials. Zbl 1102.31006 Duduchava, Roland 23 2001 Pseudodifferential equations on manifolds with boundary: Fredholm property and asymptotic. Zbl 0985.47019 Chkadua, O.; Duduchava, R. 22 2001 Boundary value problems of the mathematical theory of cracks. Zbl 1016.35501 Duduchava, R.; Natroshvili, D.; Shargorodskij, E. 22 1990 Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I. Zbl 0822.35135 Duduchava, R.; Natroshvili, D.; Shargorodsky, E. 20 1995 On multidimensional singular integral operators. I: The half-space case. Zbl 0537.45015 Duduchava, Roland 19 1984 On algebras generated by convolutions and discontinuous functions. Zbl 0621.47029 Duduchava, Roland 19 1987 Interface crack problems for metallic-piezoelectric composite structures. Zbl 1407.74075 Buchukuri, T.; Chkadua, O.; Duduchava, R.; Natroshvili, D. 17 2012 Pseudodifferential operators on compact manifolds with Lipschitz boundary. Zbl 0796.58051 Duduchava, R.; Speck, F.-O. 15 1993 Asymptotics of functions represented by potentials. Zbl 1065.35508 Chkadua, O.; Duduchava, R. 13 2000 Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. II. Zbl 0822.35136 Duduchava, R.; Natroshvili, D.; Shargorodsky, E. 12 1995 On general singular integral operators of the plane theory of elasticity. Zbl 0587.45007 Duduchava, R. 12 1984 Mixed boundary value problem on hypersurfaces. Zbl 1308.35116 Duduchava, R.; Tsaava, M.; Tsutsunava, T. 10 2014 Diffraction from polygonal-conical screens, an operator approach. Zbl 1322.78008 Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme 10 2014 Finite interval convolution operators on the Bessel potential spaces \(H_ p^ s\). Zbl 0830.47020 Bastos, M. A.; dos Santos, A. F.; Duduchava, R. 9 1995 On multidimensional singular integral operators. II: The case of compact manifolds. Zbl 0566.45019 Duduchava, Roland 9 1984 On integral operators of convolution with discontinuous coefficients. Zbl 0362.45004 Duducava, R. V. 9 1977 Partial differential equations on hypersurfaces. Zbl 1196.35072 Duduchava, Roland 7 2009 Mixed crack type problem in anisotropic elasticity. Zbl 0901.73016 Duduchava, R.; Natroshvili, D. 7 1998 The discrete Wiener-Hopf equations. Zbl 0412.47015 Duduchava, R. V. 7 1975 On the index of bisingular integral operators. I. Zbl 0436.47039 Duduchava, R. V. 7 1979 An application of singular integral equations to some problems of elasticity. Zbl 0487.73016 Duduchava, Roland 6 1982 Bessel potential operators for the quarter-plane. Zbl 0783.47047 Speck, F.-O.; Duduchava, R. 6 1992 Convolution integral equations on a half-line with semi-almost-periodic presymbols. Zbl 0462.45010 Duduchava, R. V.; Saginashvili, A. I. 6 1981 General singular integral equations and basic problems of planar elasticity theory. Zbl 0623.45005 Duduchava, R. V. 6 1986 Localization and minimal normalization of some basic mixed boundary value problems. Zbl 1055.35154 Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme 6 2003 Mixed boundary value problems for the Helmholtz equation in arbitrary 2D-sectors. Zbl 1279.35014 Duduchava, Roland; Tsaava, Medea 6 2013 Über Wiener-Hopfsche Integraloperatoren. Zbl 0317.47019 Duducava, R. V. 5 1975 On bisingular integral operators with discontinuous coefficients. Zbl 0388.47030 Duducava, R. V. 5 1978 Integral equations of the convolution type with discontinuous coefficients. Zbl 0401.45005 Duducava, R. V. 5 1978 Mellin convolution operators in Bessel potential spaces with admissible meromorphic kernels. Zbl 1314.47063 Duduchava, Roland 5 2013 On the norm of singular integral operator on curves with cusps. Zbl 0835.47039 Duduchava, R.; Krupnik, N. 4 1994 Singular integral operators with the complex conjugation on curves with cusps. Zbl 0827.45006 Duduchava, R.; Latsabidze, T.; Saginashvili, A. 4 1995 Wiener-Hopf integral operators with discontinuous symbols. Zbl 0294.47026 Duducava, R. V. 4 1973 On estimates of the Boltzmann collision operator with cut-off. Zbl 1102.76064 Duduchava, Roland; Kirsch, Ralf; Rjasanow, Sergej 4 2006 Finite interval convolution operators with transmission property. Zbl 1099.47027 Castro, L. P.; Duduchava, R.; Speck, F.-O. 4 2005 Wiener-Hopf equations with the transmission property. Zbl 0754.45005 Duduchava, Roland 4 1992 Mellin convolution operators in Bessel potential spaces. Zbl 1348.47027 Didenko, Victor D.; Duduchava, Roland 4 2016 Mixed boundary value problems for the Laplace-Beltrami equation. Zbl 1404.35146 Duduchava, Roland; Tsaava, M. 4 2018 Localization of a Helmholtz boundary value problem in a domain with piecewise-smooth boundary. Zbl 1290.35040 Buchukuri, T.; Duduchava, R.; Kapanadze, D.; Tsaava, M. 4 2013 The algebra of non-classical singular integral operators on half space. Zbl 0629.45014 Duduchava, Roland; Schneider, Reinhold 3 1987 Asymmetric factorizations of matrix functions on the real line. Zbl 1120.47014 Castro, L. P.; Duduchava, R.; Speck, F.-O. 3 2006 Boundary value problems in domains with peaks. Zbl 0996.47024 Duduchava, R.; Silbermann, B. 3 2000 On the index of bisingular integral operators. II. Zbl 0436.47040 Duduchava, R. V. 3 1979 Solvability of singular integro-differential equations with multiple complex shifts. Zbl 1167.45005 Pinheiro De Castro, Luís; Duduchava, Roland; Speck, Frank-Olme 3 2008 Mixed impedance boundary value problems for the Laplace-Beltrami equation. Zbl 1454.35128 Castro, Luis; Duduchava, Roland; Speck, Frank-Olme 3 2020 On the uniqueness of a solution to anisotropic Maxwell’s equations. Zbl 1192.78014 Buchukuri, T.; Duduchava, R.; Kapanadze, D.; Natroshvili, D. 2 2010 On the approximation of singular integral equations by equations with smooth kernels. Zbl 0827.45002 Duduchava, R.; Prößdorf, Siegfried 2 1995 A revised asymptotic model of a shell. Zbl 1235.35109 Duduchava, R. 2 2011 On singular integral operators on piecewise smooth lines. Zbl 0341.45008 Duduchava, R. V. 2 1976 The boundedness of the singular integration operator in Hölder spaces with weight. Zbl 0227.45002 Duduchava, R. V. 2 1970 Singular integral equations in Hölder space with weight. I: Hölder coefficients. Zbl 0227.45003 Duduchava, R. V. 2 1970 On convolution integral operators with discontinuous coefficients. Zbl 0316.47032 Duducava, R. V. 2 1974 Extended normal vector field and the Weingarten map on hypersurfaces. Zbl 1163.53003 Duduchava, Roland; Kapanadze, David 2 2008 On the index of singular integral equations with complex-conjugate functions on piecewise smooth line. Zbl 0578.45004 Duduchava, R. V.; Latsabidze, T. I. 2 1985 The Riemann-Hilbert boundary problem in a bicylinder. Zbl 0592.35100 Duduchava, R.; Rodino, L. 2 1985 Singular integral operators with complex conjugation on piecewise smooth lines. Zbl 0897.47042 Duduchava, R. V.; Latsabidze, T. I.; Saginashvili, A. I. 2 1992 Mapping properties of the Boltzmann collision operator. Zbl 1071.82030 Duduchava, R.; Rjasanow, S. 2 2005 On the continuity of generalized solutions for basic boundary value problems of the mathematical theory of cracks. Zbl 0737.73066 Duduchava, R. V.; Natroshvili, D. G.; Shargorodskij, E. M. 2 1989 On two-dimensional singular integral operators with conformal Carleman shift. Zbl 0877.45004 Duduchava, R.; Saginashvili, A.; Shargorodsky, E. 2 1997 Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain. Zbl 1444.35054 Duduchava, Roland; Tsaava, Medea 2 2020 Asymptotics of solutions to some boundary value problems of elasticity for bodies with cuspidal edges. Zbl 0945.47039 Chkadua, Otar; Duduchava, Roland 1 1998 Interface cracks in anisotropic composites. Zbl 0933.35052 Duduchava, Roland; Sändig, Anna-Margarete; Wendland, Wolfgang L. 1 1999 On singular integral operators in a Hölder space with weight. Zbl 0205.40403 Duduchava, R. V. 1 1970 Singular integral equations in special weighted spaces. Zbl 0983.47020 Duduchava, R.; Speck, F.-O. 1 2000 An algebra of integral operators with fixed singularities in kernels. Zbl 0931.47059 Duduchava, R.; Krupnik, N.; Shargorodsky, E. 1 1999 Asymptotics of potential-type functions. Zbl 1032.35050 Chkadua, O.; Duduchava, R. 1 1999 Crack-type boundary value problems of electro-elasticity. Zbl 1050.74040 Buchukuri, Tengiz; Chkadua, Otar; Duduchava, Roland 1 2004 Singular integral equations in Hölder spaces with weight. II: Piecewise- Hölder coefficients. Zbl 0227.45004 Duduchava, R. V. 1 1970 Convolution integral operators on a quadrant with discontinuous symbols. Zbl 0349.47038 Duducava, R. V. 1 1977 On certain singular integral operators with fixed singularities. Zbl 0754.42010 Duduchava, R. V.; Shargorodskij, E. M. 1 1990 On two-dimensional singular integral operators with shift. Zbl 0872.45009 Duduchava, R. V.; Saginashvili, A. I.; Shargorodskij, E. M. 1 1995 The Wiener-Hopf method in crack and interface problems. Zbl 0892.35162 Duduchava, Roland; Sändig, Anna-Margarete; Wendland, Wolfgang L. 1 1996 Diskrete Faltungsoperatoren auf einen Quadranten und ihre Indizes. Zbl 0406.47027 Duducava, R. V. 1 1977 Solution of a convolution equation on the quarter-plane. Zbl 0458.47026 Duduchava, R. V. 1 1980 Extension of functions from hypersurfaces with boundary. Zbl 1247.46027 Duduchava, R. 1 2012 The screen type Dirichlet boundary value problems for anisotropic pseudo-Maxwell’s equations. Zbl 1337.35041 Chkadua, O.; Duduchava, R.; Kapanadze, D. 1 2015 Screen type problems for anisotropic pseudo-Maxwell’s equations. Zbl 1335.35043 Chkadua, Otar; Duduchava, Roland; Kapanadze, David 1 2016 Extension of the unit normal vector field from a hypersurface. Zbl 1325.53015 Duduchava, Roland; Shargorodsky, Eugene; Tephnadze, George 1 2015 Mixed type boundary value problems for Laplace-Beltrami equation on a surface with the Lipschitz boundary. Zbl 1466.35145 Duduchava, Roland 1 2021 Potential methods for anisotropic pseudo-Maxwell equations in screen type problems. Zbl 1276.35066 Chkadua, O.; Duduchava, R.; Kapanadze, D. 1 2013 Singular integral operators on an open arc in spaces with weight. Zbl 1301.47067 Duduchava, Roland; Kverghelidze, Nino; Tsaava, Medea 1 2013 Mixed type boundary value problems for Laplace-Beltrami equation on a surface with the Lipschitz boundary. Zbl 1466.35145 Duduchava, Roland 1 2021 Mixed impedance boundary value problems for the Laplace-Beltrami equation. Zbl 1454.35128 Castro, Luis; Duduchava, Roland; Speck, Frank-Olme 3 2020 Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain. Zbl 1444.35054 Duduchava, Roland; Tsaava, Medea 2 2020 Mixed boundary value problems for the Laplace-Beltrami equation. Zbl 1404.35146 Duduchava, Roland; Tsaava, M. 4 2018 Mellin convolution operators in Bessel potential spaces. Zbl 1348.47027 Didenko, Victor D.; Duduchava, Roland 4 2016 Screen type problems for anisotropic pseudo-Maxwell’s equations. Zbl 1335.35043 Chkadua, Otar; Duduchava, Roland; Kapanadze, David 1 2016 The screen type Dirichlet boundary value problems for anisotropic pseudo-Maxwell’s equations. Zbl 1337.35041 Chkadua, O.; Duduchava, R.; Kapanadze, D. 1 2015 Extension of the unit normal vector field from a hypersurface. Zbl 1325.53015 Duduchava, Roland; Shargorodsky, Eugene; Tephnadze, George 1 2015 Mixed boundary value problem on hypersurfaces. Zbl 1308.35116 Duduchava, R.; Tsaava, M.; Tsutsunava, T. 10 2014 Diffraction from polygonal-conical screens, an operator approach. Zbl 1322.78008 Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme 10 2014 Mixed boundary value problems for the Helmholtz equation in arbitrary 2D-sectors. Zbl 1279.35014 Duduchava, Roland; Tsaava, Medea 6 2013 Mellin convolution operators in Bessel potential spaces with admissible meromorphic kernels. Zbl 1314.47063 Duduchava, Roland 5 2013 Localization of a Helmholtz boundary value problem in a domain with piecewise-smooth boundary. Zbl 1290.35040 Buchukuri, T.; Duduchava, R.; Kapanadze, D.; Tsaava, M. 4 2013 Potential methods for anisotropic pseudo-Maxwell equations in screen type problems. Zbl 1276.35066 Chkadua, O.; Duduchava, R.; Kapanadze, D. 1 2013 Singular integral operators on an open arc in spaces with weight. Zbl 1301.47067 Duduchava, Roland; Kverghelidze, Nino; Tsaava, Medea 1 2013 Interface crack problems for metallic-piezoelectric composite structures. Zbl 1407.74075 Buchukuri, T.; Chkadua, O.; Duduchava, R.; Natroshvili, D. 17 2012 Extension of functions from hypersurfaces with boundary. Zbl 1247.46027 Duduchava, R. 1 2012 A revised asymptotic model of a shell. Zbl 1235.35109 Duduchava, R. 2 2011 On the uniqueness of a solution to anisotropic Maxwell’s equations. Zbl 1192.78014 Buchukuri, T.; Duduchava, R.; Kapanadze, D.; Natroshvili, D. 2 2010 Partial differential equations on hypersurfaces. Zbl 1196.35072 Duduchava, Roland 7 2009 Solvability of singular integro-differential equations with multiple complex shifts. Zbl 1167.45005 Pinheiro De Castro, Luís; Duduchava, Roland; Speck, Frank-Olme 3 2008 Extended normal vector field and the Weingarten map on hypersurfaces. Zbl 1163.53003 Duduchava, Roland; Kapanadze, David 2 2008 Differential operators and boundary value problems on hypersurfaces. Zbl 1112.58020 Duduchava, L. Roland; Mitrea, Dorina; Mitrea, Marius 28 2006 On estimates of the Boltzmann collision operator with cut-off. Zbl 1102.76064 Duduchava, Roland; Kirsch, Ralf; Rjasanow, Sergej 4 2006 Asymmetric factorizations of matrix functions on the real line. Zbl 1120.47014 Castro, L. P.; Duduchava, R.; Speck, F.-O. 3 2006 Finite interval convolution operators with transmission property. Zbl 1099.47027 Castro, L. P.; Duduchava, R.; Speck, F.-O. 4 2005 Mapping properties of the Boltzmann collision operator. Zbl 1071.82030 Duduchava, R.; Rjasanow, S. 2 2005 Crack-type boundary value problems of electro-elasticity. Zbl 1050.74040 Buchukuri, Tengiz; Chkadua, Otar; Duduchava, Roland 1 2004 Asymptotics without logarithmic terms for crack problems. Zbl 1103.35321 Costabel, Martin; Dauge, Monique; Duduchava, Roland 34 2003 Localization and minimal normalization of some basic mixed boundary value problems. Zbl 1055.35154 Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme 6 2003 The Green formula and layer potentials. Zbl 1102.31006 Duduchava, Roland 23 2001 Pseudodifferential equations on manifolds with boundary: Fredholm property and asymptotic. Zbl 0985.47019 Chkadua, O.; Duduchava, R. 22 2001 Asymptotics of functions represented by potentials. Zbl 1065.35508 Chkadua, O.; Duduchava, R. 13 2000 Boundary value problems in domains with peaks. Zbl 0996.47024 Duduchava, R.; Silbermann, B. 3 2000 Singular integral equations in special weighted spaces. Zbl 0983.47020 Duduchava, R.; Speck, F.-O. 1 2000 Interface cracks in anisotropic composites. Zbl 0933.35052 Duduchava, Roland; Sändig, Anna-Margarete; Wendland, Wolfgang L. 1 1999 An algebra of integral operators with fixed singularities in kernels. Zbl 0931.47059 Duduchava, R.; Krupnik, N.; Shargorodsky, E. 1 1999 Asymptotics of potential-type functions. Zbl 1032.35050 Chkadua, O.; Duduchava, R. 1 1999 Mixed crack type problem in anisotropic elasticity. Zbl 0901.73016 Duduchava, R.; Natroshvili, D. 7 1998 Asymptotics of solutions to some boundary value problems of elasticity for bodies with cuspidal edges. Zbl 0945.47039 Chkadua, Otar; Duduchava, Roland 1 1998 On two-dimensional singular integral operators with conformal Carleman shift. Zbl 0877.45004 Duduchava, R.; Saginashvili, A.; Shargorodsky, E. 2 1997 The Wiener-Hopf method in crack and interface problems. Zbl 0892.35162 Duduchava, Roland; Sändig, Anna-Margarete; Wendland, Wolfgang L. 1 1996 The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems. Zbl 1126.35368 Duduchava, R.; Wendland, W. L. 31 1995 Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I. Zbl 0822.35135 Duduchava, R.; Natroshvili, D.; Shargorodsky, E. 20 1995 Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. II. Zbl 0822.35136 Duduchava, R.; Natroshvili, D.; Shargorodsky, E. 12 1995 Finite interval convolution operators on the Bessel potential spaces \(H_ p^ s\). Zbl 0830.47020 Bastos, M. A.; dos Santos, A. F.; Duduchava, R. 9 1995 Singular integral operators with the complex conjugation on curves with cusps. Zbl 0827.45006 Duduchava, R.; Latsabidze, T.; Saginashvili, A. 4 1995 On the approximation of singular integral equations by equations with smooth kernels. Zbl 0827.45002 Duduchava, R.; Prößdorf, Siegfried 2 1995 On two-dimensional singular integral operators with shift. Zbl 0872.45009 Duduchava, R. V.; Saginashvili, A. I.; Shargorodskij, E. M. 1 1995 On the norm of singular integral operator on curves with cusps. Zbl 0835.47039 Duduchava, R.; Krupnik, N. 4 1994 Pseudodifferential operators on compact manifolds with Lipschitz boundary. Zbl 0796.58051 Duduchava, R.; Speck, F.-O. 15 1993 Bessel potential operators for the quarter-plane. Zbl 0783.47047 Speck, F.-O.; Duduchava, R. 6 1992 Wiener-Hopf equations with the transmission property. Zbl 0754.45005 Duduchava, Roland 4 1992 Singular integral operators with complex conjugation on piecewise smooth lines. Zbl 0897.47042 Duduchava, R. V.; Latsabidze, T. I.; Saginashvili, A. I. 2 1992 Boundary value problems of the mathematical theory of cracks. Zbl 1016.35501 Duduchava, R.; Natroshvili, D.; Shargorodskij, E. 22 1990 On certain singular integral operators with fixed singularities. Zbl 0754.42010 Duduchava, R. V.; Shargorodskij, E. M. 1 1990 On the continuity of generalized solutions for basic boundary value problems of the mathematical theory of cracks. Zbl 0737.73066 Duduchava, R. V.; Natroshvili, D. G.; Shargorodskij, E. M. 2 1989 On algebras generated by convolutions and discontinuous functions. Zbl 0621.47029 Duduchava, Roland 19 1987 The algebra of non-classical singular integral operators on half space. Zbl 0629.45014 Duduchava, Roland; Schneider, Reinhold 3 1987 General singular integral equations and basic problems of planar elasticity theory. Zbl 0623.45005 Duduchava, R. V. 6 1986 On the index of singular integral equations with complex-conjugate functions on piecewise smooth line. Zbl 0578.45004 Duduchava, R. V.; Latsabidze, T. I. 2 1985 The Riemann-Hilbert boundary problem in a bicylinder. Zbl 0592.35100 Duduchava, R.; Rodino, L. 2 1985 On multidimensional singular integral operators. I: The half-space case. Zbl 0537.45015 Duduchava, Roland 19 1984 On general singular integral operators of the plane theory of elasticity. Zbl 0587.45007 Duduchava, R. 12 1984 On multidimensional singular integral operators. II: The case of compact manifolds. Zbl 0566.45019 Duduchava, Roland 9 1984 An application of singular integral equations to some problems of elasticity. Zbl 0487.73016 Duduchava, Roland 6 1982 Convolution integral equations on a half-line with semi-almost-periodic presymbols. Zbl 0462.45010 Duduchava, R. V.; Saginashvili, A. I. 6 1981 Solution of a convolution equation on the quarter-plane. Zbl 0458.47026 Duduchava, R. V. 1 1980 Integral equations of convolution type with discontinuous presymbols, singular integral equations with fixed singularities and their applications to some problems of mechanics. Zbl 0429.45002 Duduchava, R. V. 70 1979 Integral equations in convolution with discontinuous presymbols. Singular integral equations with fixed singularities, and their applications to some problems of mechanics. Zbl 0439.45002 Duduchava, Roland 40 1979 On the index of bisingular integral operators. I. Zbl 0436.47039 Duduchava, R. V. 7 1979 On the index of bisingular integral operators. II. Zbl 0436.47040 Duduchava, R. V. 3 1979 On bisingular integral operators with discontinuous coefficients. Zbl 0388.47030 Duducava, R. V. 5 1978 Integral equations of the convolution type with discontinuous coefficients. Zbl 0401.45005 Duducava, R. V. 5 1978 On integral operators of convolution with discontinuous coefficients. Zbl 0362.45004 Duducava, R. V. 9 1977 Convolution integral operators on a quadrant with discontinuous symbols. Zbl 0349.47038 Duducava, R. V. 1 1977 Diskrete Faltungsoperatoren auf einen Quadranten und ihre Indizes. Zbl 0406.47027 Duducava, R. V. 1 1977 On singular integral operators on piecewise smooth lines. Zbl 0341.45008 Duduchava, R. V. 2 1976 The discrete Wiener-Hopf equations. Zbl 0412.47015 Duduchava, R. V. 7 1975 Über Wiener-Hopfsche Integraloperatoren. Zbl 0317.47019 Duducava, R. V. 5 1975 On convolution integral operators with discontinuous coefficients. Zbl 0316.47032 Duducava, R. V. 2 1974 Wiener-Hopf integral operators with discontinuous symbols. Zbl 0294.47026 Duducava, R. V. 4 1973 The boundedness of the singular integration operator in Hölder spaces with weight. Zbl 0227.45002 Duduchava, R. V. 2 1970 Singular integral equations in Hölder space with weight. I: Hölder coefficients. Zbl 0227.45003 Duduchava, R. V. 2 1970 On singular integral operators in a Hölder space with weight. Zbl 0205.40403 Duduchava, R. V. 1 1970 Singular integral equations in Hölder spaces with weight. II: Piecewise- Hölder coefficients. Zbl 0227.45004 Duduchava, R. V. 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 325 Authors 33 Duduchava, Roland 28 Karlovich, Yuri I. 25 Natroshvili, David 18 Pinheiro de Castro, Luís Filipe 17 Karlovych, Oleksiy 15 Chkadua, Otar 14 Speck, Frank-Olme 10 Böttcher, Albrecht 9 Didenko, Victor D. 9 Silbermann, Bernd 8 Junghanns, Peter 8 Kapanadze, David 8 Wendland, Wolfgang L. 7 Bastos, Maria Amélia 7 Buchukuri, Tengiz 7 Costabel, Martin 7 dos Santos, António Ferreira 7 Fernandes, Claudio A. 7 Lebre, Amarino Brites 7 Santos, Pedro A. 6 Li, Pingrun 6 Nazarov, Sergeĭ Aleksandrovich 5 Câmara, Maria Cristina 5 Mikhailov, Sergey E. 5 Roch, Steffen 5 Tsaava, Medea 5 Zazashvili, Shota 4 Dauge, Monique 4 Felli, Veronica 4 Giorgashvili, Levan 4 Grubb, Gerd 4 Jentsch, Lothar 4 Kaiser, Robert 4 Kohr, Mirela 4 Krupnik, Naum Yakovlevich 4 Phan, Anh-Vu 4 Popov, V. G. 4 Rabinovich, Vladimir Samuilovich 4 Shargorodsky, Eugene 4 Silva, Anabela Sousa 4 Spitkovsky, Ilya Matvey 4 Stratis, Ioannis G. 3 Bruno, Oscar P. 3 Chkadua, George 3 Dzhangibekov, Gulkhodzha 3 Lopes, Paulo A. C. 3 Loreto Hernández, Iván 3 Messerschmidt, Miek 3 Nguyen Minh Tuan 3 Odinabekov, Dzhazur Muzofirovich 3 Ran, André C. M. 3 Ros-Oton, Xavier 3 Sändig, Anna-Margarete 3 Sevroglou, Vassilios 3 Soldatov, Aleksandr Pavlovich 3 Teixeira, Francisco S. 3 ter Horst, Sanne 3 Tsertsvadze, Tornike 2 Achleitner, Franz 2 Agranovich, Mikhail Semënovich 2 Akel, Mohamed S. 2 Athanasiadis, Christodoulos E. 2 Averseng, Martin 2 Dai, Daoqing 2 Ehrhardt, Torsten 2 Martínez Gamba, Irene 2 Gençtürk, İlker 2 Gray, Leonard J. 2 Greengard, Leslie F. 2 Hiptmair, Ralf 2 Hittmeir, Sabine 2 Kamalyan, Armen G. 2 Khludnev, Aleksandr Mikhaĭlovich 2 Kovtunenko, Viktor Anatolievich 2 Kraußhar, Rolf Sören 2 Mandal, Birendra Nath 2 Meister, Erhard V. 2 Mirsaburov, Mirakhmat 2 Nicaise, Serge 2 Nigam, Nilima 2 Panja, Madan Mohan 2 Partington, Jonathan R. 2 Paul, Swaraj 2 Popov, Gennadiĭ Yakovlevich 2 Rjasanow, Sergej 2 Rodrigues, Maria Manuela 2 Roelands, Mark 2 Rozenblum, Grigori V. 2 Salvadori, Alberto 2 Santos, A. Moura 2 Schneider, Reinhold 2 Shannon, Samuel 2 Spigel, Yafim 2 Steigemann, Martin 2 Tephnadze, George 2 Tierz, Miguel 2 Tishin, P. M. 2 Toloraia, Anika 2 Urzúa-Torres, Carolina 2 Venturino, Ezio ...and 225 more Authors all top 5 Cited in 124 Serials 41 Integral Equations and Operator Theory 19 Journal of Mathematical Analysis and Applications 16 Mathematical Methods in the Applied Sciences 15 Georgian Mathematical Journal 11 Transactions of A. Razmadze Mathematical Institute 9 Mathematische Nachrichten 9 Journal of Integral Equations and Applications 7 Journal of Mathematical Sciences (New York) 7 Complex Variables and Elliptic Equations 5 Journal of Functional Analysis 4 Applicable Analysis 4 Functional Analysis and its Applications 4 Journal of Differential Equations 4 Complex Analysis and Operator Theory 3 Communications in Mathematical Physics 3 Journal of Applied Mathematics and Mechanics 3 Journal of Computational Physics 3 Ukrainian Mathematical Journal 3 Monatshefte für Mathematik 3 Numerische Mathematik 3 Siberian Mathematical Journal 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Applicandae Mathematicae 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Russian Mathematics 3 Engineering Analysis with Boundary Elements 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Lobachevskii Journal of Mathematics 3 Mediterranean Journal of Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Banach Journal of Mathematical Analysis 2 Archive for Rational Mechanics and Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Statistical Physics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics of Computation 2 Prikladnaya Matematika i Mekhanika 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal for Numerical Methods in Engineering 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Results in Mathematics 2 Journal of Elasticity 2 Linear Algebra and its Applications 2 SIAM Journal on Mathematical Analysis 2 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 Turkish Journal of Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Mathematical Fluid Mechanics 2 Differential Equations 2 International Journal of Fracture 2 Journal of Pseudo-Differential Operators and Applications 2 Journal of Spectral Theory 2 Concrete Operators 1 Inverse Problems 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Nonlinearity 1 Studia Mathematica 1 Wave Motion 1 Acta Mathematica Vietnamica 1 Acta Scientiarum Mathematicarum 1 BIT 1 Bulletin of the London Mathematical Society 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series 1 Vestnik St. Petersburg University. Mathematics 1 The Journal of Analysis 1 International Applied Mechanics 1 St. Petersburg Mathematical Journal 1 Computational and Applied Mathematics 1 Memoirs on Differential Equations and Mathematical Physics 1 Advances in Computational Mathematics 1 Advances in Differential Equations 1 Sbornik: Mathematics ...and 24 more Serials all top 5 Cited in 33 Fields 150 Partial differential equations (35-XX) 142 Operator theory (47-XX) 104 Integral equations (45-XX) 69 Mechanics of deformable solids (74-XX) 48 Numerical analysis (65-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 37 Functional analysis (46-XX) 24 Functions of a complex variable (30-XX) 19 Potential theory (31-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Fluid mechanics (76-XX) 15 Optics, electromagnetic theory (78-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Integral transforms, operational calculus (44-XX) 4 Probability theory and stochastic processes (60-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) Citations by Year