Edit Profile (opens in new tab) Natroshvili, David Co-Author Distance Author ID: natroshvili.david Published as: Natroshvili, David; Natroshvili, D.; Natroshvili, D. G.; Natrosvili, D. G.; Natrosvili, D.; Natrovshvili, D. G.; Natroshvilli, D. more...less Homepage: http://www.viam.science.tsu.ge/curi/elasty/natroshvili/ External Links: Math-Net.Ru Documents Indexed: 166 Publications since 1972, including 3 Books 5 Contributions as Editor · 1 Further Contribution Co-Authors: 44 Co-Authors with 132 Joint Publications 698 Co-Co-Authors all top 5 Co-Authors 40 single-authored 29 Chkadua, Otar 17 Mikhailov, Sergey E. 11 Buchukuri, Tengiz 11 Stratis, Ioannis G. 10 Jentsch, Lothar 9 Duduchava, Roland 9 Gachechiladze, Avtandil 9 Gachechiladze, Roland 9 Shargorodsky, Eugene 8 Wendland, Wolfgang L. 8 Zazashvili, Shota 7 Jaiani, George V. 7 Kharibegashvili, S. S. 6 Giorgashvili, Levan 6 Mrevlishvili, Maia 6 Svanadze, Merab Zh. 5 Basheleishvili, Mikheil O. 5 Tediashvili, Zurab 4 Athanasiadis, Christodoulos E. 4 Dzhagmaidze, A. Ya. 4 Sevroglou, Vassilios 3 Pinheiro de Castro, Luís Filipe 3 Gilbert, Robert Pertsch 3 Gwinner, Joachim 3 Sändig, Anna-Margarete 3 Sigua, Irine 3 Tsertsvadze, Tornike 2 Chandler-Wilde, Simon N. 2 Chkadua, George 2 Gorgisheli, Sveta 2 Kapanadze, David 2 Manelidze, Gela 2 Maz’ya, Vladimir Gilelevich 2 Sadunishvili, Guram 2 Yagmaidze, A. Ya. 1 Arens, Tilo 1 Arsenashvili, G. 1 Bacradze, I. D. 1 Bashalejshvili, M. O. 1 Bitsadze, L. P. 1 Devdariani, G. G. 1 Giorgashvili, L. G. 1 Gogishvili, Guram 1 Ivanidze, Diana 1 Ivanidze, Marekh 1 Karseladze, Giorgi 1 Meladze, R. V. 1 Rukhadze, Zh. A. 1 Sadunishvili, D. 1 Tsagareli, I. I. 1 Zazashvili, Sh. P. all top 5 Serials 23 Memoirs on Differential Equations and Mathematical Physics 15 Mathematical Methods in the Applied Sciences 15 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 13 Georgian Mathematical Journal 11 Trudy Instituta Prikladnoĭ Matematiki Imeni I. N. Vekua 6 Journal of Integral Equations and Applications 5 Transactions of A. Razmadze Mathematical Institute 4 Applicable Analysis 4 Mathematische Nachrichten 4 Proceedings of A. Razmadze Mathematical Institute 3 Differentsial’nye Uravneniya 3 Differential Equations 3 Integral Equations and Operator Theory 3 Applied Mathematics, Informatics and Mechanics 2 Journal of Mathematical Analysis and Applications 2 Journal of Elasticity 2 Bulletin of the Georgian Academy of Sciences 2 Applied Mathematics and Informatics 2 Bulletin of TICMI 2 Proceedings of I. Vekua Institute of Applied Mathematics 2 Springer Proceedings in Mathematics & Statistics 1 Inverse Problems 1 Quarterly Journal of Mechanics and Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Computational and Applied Mathematics 1 Bulletin of the Greek Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Numerical Methods for Partial Differential Equations 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Opuscula Mathematica 1 European Mathematical Society Newsletter 1 Trudy Tbilisskogo Universiteta. Matematika, Mekhanika, Astronomiya 1 Seminar of I. Vekua Institute of Applied Mathematics. Reports 1 Analysis and Applications (Singapore) 1 Lecture Notes of TICMI 1 Operator Theory: Advances and Applications all top 5 Fields 132 Mechanics of deformable solids (74-XX) 112 Partial differential equations (35-XX) 25 Integral equations (45-XX) 21 Potential theory (31-XX) 14 Operator theory (47-XX) 8 History and biography (01-XX) 8 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 6 Optics, electromagnetic theory (78-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 General and overarching topics; collections (00-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 1 Functions of a complex variable (30-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 585 times in 226 Documents Cited by ▼ Year ▼ Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility. Zbl 1204.65139 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 45 2009 Mixed problems for homogeneous anisotropic elastic media. Zbl 1016.35502 Natroshvili, D. G.; Chkadua, O. O.; Shargorodskij, E. M. 23 1990 Boundary integral equation method in the steady state oscillation problems for ansiotropic bodies. Zbl 0872.35115 Natroshvili, David 22 1997 Boundary value problems of the mathematical theory of cracks. Zbl 1016.35501 Duduchava, R.; Natroshvili, D.; Shargorodskij, E. 22 1990 Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients. Zbl 1276.35067 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 22 2013 Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics. Zbl 1194.65142 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 20 2010 Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I. Zbl 0822.35135 Duduchava, R.; Natroshvili, D.; Shargorodsky, E. 20 1995 Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. Zbl 1273.45007 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 20 2013 Interface crack problems for metallic-piezoelectric composite structures. Zbl 1407.74075 Buchukuri, T.; Chkadua, O.; Duduchava, R.; Natroshvili, D. 17 2012 Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks. Zbl 1208.65174 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 14 2011 Steady state oscillation problems in the theory of elasticity for chiral materials. Zbl 1108.35048 Natroshvili, David; Giorgashvili, Levan; Zazashvili, Shota 13 2005 Direct and inverse fluid-structure interaction problems. Zbl 1169.35322 Natroshvili, D.; Kharibegashvili, S.; Tediashvili, Z. 13 2000 Mathematical problems of generalized thermo-electro-magneto-elasticity theory. Zbl 1361.31005 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 13 2016 Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. II. Zbl 0822.35136 Duduchava, R.; Natroshvili, D.; Shargorodsky, E. 12 1995 Two-dimensional hierarchical models for prismatic shells with thickness vanishing at the boundary. Zbl 1076.74038 Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.; Wendland, W. L. 12 2004 Mathematical problems of the theory of elasticity of chiral materials for Lipschitz domains. Zbl 1129.74020 Natroshvili, David; Stratis, Ioannis G. 12 2006 Mixed boundary value problems of thermopiezoelectricity for solids with interior cracks. Zbl 1183.35263 Buchukuri, T.; Chkadua, O.; Natroshvili, D. 11 2009 Mathematical problems of the theory of elasticity of chiral materials. Zbl 1183.74027 Natroshvili, D.; Giorgashvili, L.; Stratis, I. G. 11 2003 Transmission problems in the theory of elastic hemitropic materials. Zbl 1136.74018 Natroshvili, David; Gachechiladze, Roland; Gachechiladze, Avtandil; Stratis, Ioannis G. 10 2007 General transmission problems in the theory of elastic oscillations of anisotropic bodies (basic interface problems). Zbl 0910.73016 Jentsch, Lothar; Natroshvili, David; Wendland, Wolfgang L. 10 1998 Localized direct segregated boundary-domain integral equations for variable coefficient transmission problems with interface crack. Zbl 1235.35098 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 9 2011 Representation formulae of general solutions in the theory of hemitropic elasticity. Zbl 1107.74005 Natroshvili, David; Giorgashvili, Levan; Stratis, Ioannis G. 9 2006 Existence and uniqueness theorems for cusped prismatic shells in the \(N\)th hierarchical model. Zbl 1140.74016 Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D. 8 2008 Mixed crack type problem in anisotropic elasticity. Zbl 0901.73016 Duduchava, R.; Natroshvili, D. 7 1998 Uniqueness, existence, and integral equation formulations for interface scattering problems. Zbl 1081.35065 Natroshvili, David; Arens, Tilo; Chandler-Wilde, Simon N. 7 2003 A boundary variational inequality approach to unilateral contact with hemitropic materials. Zbl 1174.35400 Gachechiladze, R.; Gwinner, J.; Natroshvili, D. 6 2006 General transmission problems in the theory of elastic oscillations of anisotropic bodies (mixed interface problems). Zbl 1066.74546 Jentsch, Lothar; Natroshvili, David; Wendland, Wolfgang L. 6 1999 Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II. Zbl 1060.35533 Jentsch, Lothar; Natroshvili, David 6 1999 A boundary integral equations approach for mixed impedance problems in elasticity. Zbl 1253.74044 Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G. 6 2011 Interaction between thermoelastic and scalar oscillation fields. Zbl 0898.73014 Jentsch, L.; Natroshvili, D. 6 1997 Solvability and regularity results to boundary-transmission problems for metallic and piezoelectric elastic materials. Zbl 1180.35511 Buchukuri, T.; Chkadua, O.; Natroshvili, D.; Sändig, A.-M. 6 2009 Analysis of some localized boundary-domian integral equations. Zbl 1175.65141 Chkadua, O.; Mikhailov, S. E.; Natroshvilli, D. 6 2009 Non-classical mixed interface problems for anisotropic bodies. Zbl 0854.73009 Jentsch, Lothar; Natroshvili, David 6 1996 Method of fundamental solutions for mixed and crack type problems in the classical theory of elasticity. Zbl 1378.35296 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 6 2017 An application of the reciprocity gap functional to inverse mixed impedance problems in elasticity. Zbl 1197.35310 Athanasiadis, Christodoulos E.; Natroshvili, David; Sevroglou, Vassilios; Stratis, Ioannis G. 6 2010 Mathematical problems of thermo-electro-magneto-elasticity. Zbl 1513.35493 Natroshvili, David 6 2011 Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. I. Zbl 0943.35096 Jentsch, Lothar; Natroshvili, David 5 1999 Mixed interface problems for anisotropic elastic bodies. Zbl 0845.35125 Natroshvili, D. 5 1995 Nonlocal approach in mathematical problems of fluid-structure interaction. Zbl 0959.35138 Jentsch, Lothar; Natroshvili, David 5 1999 Boundary variational inequality approach in the anisotropic elasticity for the Signorini problem. Zbl 1008.35032 Gachechiladze, A.; Natroshvili, D. 5 2001 Non-classical interface problems for piecewise homogeneous anisotropic elastic bodies. Zbl 0813.73058 Jentsch, Lothar; Natroshvili, David 5 1995 Interaction of elastic and scalar fields. Zbl 0864.35107 Natroshvili, David; Sadunishvili, Guram 5 1996 The potential method for the reactance wave diffraction problem in a scale of spaces. Zbl 1220.35023 Castro, Luis P.; Natroshvili, David 4 2006 Mathematical problems of thermoelasticity for hemitropic solids. Zbl 1197.35287 Natroshvili, David; Giorgashvili, Levan; Zazashvili, Shota 4 2009 Two-dimensional steady-state oscillation problems of anisotropic elasticity. Zbl 0848.35022 Natroshvili, D. 4 1996 Some remarks concerning Jones eigenfrequencies and Jones modes. Zbl 1138.74327 Natroshvili, David; Sadunishvili, Guram; Sigua, Irine 4 2005 Mixed boundary value problems of pseudo-oscillations of generalized thermo-electro-magneto-elasticity theory for solids with interior cracks. Zbl 1356.35240 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 4 2016 Localized boundary-domain singular integral equations of Dirichlet problem for self-adjoint second-order strongly elliptic PDE systems. Zbl 1368.35093 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 4 2017 A boundary variational inequality approach to unilateral contact problems with friction for micropolar hemitropic solids. Zbl 1204.35160 Gachechiladze, A.; Gachechiladze, R.; Gwinner, J.; Natroshvili, D. 4 2010 Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. Zbl 1405.35122 Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David 4 2018 Frictionless contact problems for elastic hemitropic solids: boundary variational inequality approach. Zbl 1387.35304 Gachechiladze, A.; Gachechiladze, R.; Natroshvili, D. 3 2012 Contact problems with friction for hemitropic solids: boundary variational inequality approach. Zbl 1209.35137 Gachechiladze, A.; Gachechiladze, R.; Gwinner, J.; Natroshvili, D. 3 2011 Boundary-contact problems for elastic hemitropic bodies. Zbl 1423.74664 Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David 3 2009 Boundary integral equation methods in the theory of elasticity of hemitropic materials: a brief review. Zbl 1350.74025 Natroshvili, David; Stratis, Ioannis G.; Zazashvili, Shota 3 2010 Unilateral contact problems with friction for hemitropic elastic solids. Zbl 1187.35112 Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David 3 2009 Mathematical problems of the anisotropic elasticity for piece-wise homogeneous bodies. Zbl 0830.73009 Natroshvili, David 3 1994 Dynamical contact problems with friction for hemitropic elastic solids. Zbl 1290.49016 Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David 3 2014 Mixed impedance transmission problems for vibrating layered elastic bodies. Zbl 1329.74142 Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G. 3 2015 Interaction of acoustic waves and piezoelectric structures. Zbl 1329.76313 Chkadua, George; Natroshvili, David 3 2015 Mixed and crack type problems of the thermopiezoelectricity theory without energy dissipation. Zbl 1403.35285 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 3 2018 Fluid-solid interaction: acoustic scattering by an elastic obstacle with Lipschitz boundary. Zbl 1186.74040 Natroshvili, D.; Sadunishvili, D.; Sigua, I.; Tediashvili, Z. 2 2005 Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients. Zbl 1246.65225 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 2 2011 Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains. Zbl 1246.65226 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 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 Representation formulas of general solutions to the static equations of the hemitropic elasticity theory. Zbl 1171.74007 Giorgashvili, L.; Natroshvili, D. 2 2009 Boundary contact problems with friction of dynamics for hemitropic elastic solids. Zbl 1243.74129 Gachechiladze, A.; Gachechiladze, R.; Natroshvili, D. 2 2011 Interaction problems of metallic and piezoelectric materials with regard to thermal stresses. Zbl 1167.74016 Buchukuri, T.; Chkadua, O.; Natroshvili, D.; Sändig, A.-M. 2 2008 Some mathematical problems related to the first approximation of I. Vekua’s theory for cusped prismatic shells. Zbl 1154.74354 Devdariani, G.; Jaiani, G.; Natroshvili, D.; Kharibegashvili, S. 2 2000 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 Mixed type direct and inverse scattering problems. Zbl 1149.35396 Natroshvili, David; Tediashvili, Zurab 2 2001 Localized boundary-domain integral equation formulation for mixed type problems. Zbl 1198.35073 Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David 2 2010 On an alternative approach for mixed boundary value problems for the Laplace equation. Zbl 1505.35107 Natroshvili, David; Tsertsvadze, Tornike 2 2022 Mathematical aspects of fluid-multiferroic solid interaction problems. Zbl 1473.35193 Chkadua, George; Natroshvili, David 2 2021 Potential methods in the problems of linear theory of elastic mixtures. Zbl 0686.73056 Natroshvili, David; Svanadze, Merab 1 1989 Dynamic problems of thermoelasticity for anisotropic homogeneous media. Zbl 0535.73008 Natroshvili, D. G. 1 1984 Cusped elastic beams under the action of stresses and concentrated forces. Zbl 1423.74462 Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D. 1 2010 Fluid-structure interaction problems. Zbl 0998.74028 Natroshvili, D.; Sändig, A.-M.; Wendland, W. L. 1 2000 Interface crack problems for metallic-piezoelectric composite structures. Zbl 1186.35218 Natroshvili, D.; Stratis, I. G.; Zazashvili, S. 1 2010 Solution of some contact boundary value problems of the theory of elasticity. (Reshenie nekotorykh granichnokontaktnykh zadach teorii uprugosti). Zbl 0473.73124 Natroshvili, D. G.; Dzhagmaidze, A. Ya.; Svanadze, M. Zh. 1 1980 The Dirichlet metaharmonic Green’s function for unbounded regions. Zbl 1055.31002 Natroshvili, David; Chandler-Wilde, Simon N. 1 2003 Thermoelastic oscillations of anisotropic bodies. Zbl 0911.73019 Jentsch, L.; Natroshvili, D. 1 1997 On the fundamental matrices of the equations of stationary oscillations and pseudooscillations of the anisotropic theory of elasticity. Zbl 0416.35018 Natroshvili, D. G. 1 1979 Estimates of Green’s tensors in elasticity theory. Zbl 0449.73024 Natroshvili, D. G. 1 1978 Localized boundary-domain integral equations approach for Robin type problem of the theory of piezo-elasticity for inhomogeneous solids. Zbl 1330.35435 Chkadua, Otar; Natroshvili, David 1 2015 A mixed impedance scattering problem for partially coated obstacles in two-dimensional linear elasticity. Zbl 1455.74049 Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G. 1 2015 Recent trends in operator theory and partial differential equations. The Roland Duduchava anniversary volume. Zbl 1366.47001 1 2017 Method of fundamental solutions for transmission problems. Zbl 1342.31002 Manelidze, Gela; Natroshvili, David 1 2015 Mixed type boundary value problems in the linear theory of elastic mixtures for bodies with interior cuts. Zbl 1147.35028 Natroshvili, David; Zazashvili, Shota 1 2007 The method of generalized series in the anisotropic theory of elasticity. Zbl 1014.35016 Natroshvili, D. G. 1 1990 Mixed- and crack-type dynamical problems of electro-magneto-elasticity theory. Zbl 1472.74067 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 1 2021 Mixed boundary-transmission problems for composite layered elastic structures. Zbl 1477.31018 Natroshvili, David; Mrevlishvili, Maia 1 2021 Investigation of interior and exterior Neumann-type static boundary-value problems of thermo-electro-magneto elasticity theory. Zbl 1388.35189 Mrevlishvili, M.; Natroshvili, David 1 2011 On an alternative approach for mixed boundary value problems for the Laplace equation. Zbl 1505.35107 Natroshvili, David; Tsertsvadze, Tornike 2 2022 Mathematical aspects of fluid-multiferroic solid interaction problems. Zbl 1473.35193 Chkadua, George; Natroshvili, David 2 2021 Mixed- and crack-type dynamical problems of electro-magneto-elasticity theory. Zbl 1472.74067 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 1 2021 Mixed boundary-transmission problems for composite layered elastic structures. Zbl 1477.31018 Natroshvili, David; Mrevlishvili, Maia 1 2021 Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. Zbl 1405.35122 Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David 4 2018 Mixed and crack type problems of the thermopiezoelectricity theory without energy dissipation. Zbl 1403.35285 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 3 2018 Method of fundamental solutions for mixed and crack type problems in the classical theory of elasticity. Zbl 1378.35296 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 6 2017 Localized boundary-domain singular integral equations of Dirichlet problem for self-adjoint second-order strongly elliptic PDE systems. Zbl 1368.35093 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 4 2017 Recent trends in operator theory and partial differential equations. The Roland Duduchava anniversary volume. Zbl 1366.47001 1 2017 Mathematical problems of generalized thermo-electro-magneto-elasticity theory. Zbl 1361.31005 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 13 2016 Mixed boundary value problems of pseudo-oscillations of generalized thermo-electro-magneto-elasticity theory for solids with interior cracks. Zbl 1356.35240 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 4 2016 Mixed impedance transmission problems for vibrating layered elastic bodies. Zbl 1329.74142 Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G. 3 2015 Interaction of acoustic waves and piezoelectric structures. Zbl 1329.76313 Chkadua, George; Natroshvili, David 3 2015 Localized boundary-domain integral equations approach for Robin type problem of the theory of piezo-elasticity for inhomogeneous solids. Zbl 1330.35435 Chkadua, Otar; Natroshvili, David 1 2015 A mixed impedance scattering problem for partially coated obstacles in two-dimensional linear elasticity. Zbl 1455.74049 Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G. 1 2015 Method of fundamental solutions for transmission problems. Zbl 1342.31002 Manelidze, Gela; Natroshvili, David 1 2015 Dynamical contact problems with friction for hemitropic elastic solids. Zbl 1290.49016 Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David 3 2014 Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients. Zbl 1276.35067 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 22 2013 Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. Zbl 1273.45007 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 20 2013 Interface crack problems for metallic-piezoelectric composite structures. Zbl 1407.74075 Buchukuri, T.; Chkadua, O.; Duduchava, R.; Natroshvili, D. 17 2012 Frictionless contact problems for elastic hemitropic solids: boundary variational inequality approach. Zbl 1387.35304 Gachechiladze, A.; Gachechiladze, R.; Natroshvili, D. 3 2012 Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks. Zbl 1208.65174 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 14 2011 Localized direct segregated boundary-domain integral equations for variable coefficient transmission problems with interface crack. Zbl 1235.35098 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 9 2011 A boundary integral equations approach for mixed impedance problems in elasticity. Zbl 1253.74044 Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G. 6 2011 Mathematical problems of thermo-electro-magneto-elasticity. Zbl 1513.35493 Natroshvili, David 6 2011 Contact problems with friction for hemitropic solids: boundary variational inequality approach. Zbl 1209.35137 Gachechiladze, A.; Gachechiladze, R.; Gwinner, J.; Natroshvili, D. 3 2011 Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients. Zbl 1246.65225 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 2 2011 Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains. Zbl 1246.65226 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 2 2011 Boundary contact problems with friction of dynamics for hemitropic elastic solids. Zbl 1243.74129 Gachechiladze, A.; Gachechiladze, R.; Natroshvili, D. 2 2011 Investigation of interior and exterior Neumann-type static boundary-value problems of thermo-electro-magneto elasticity theory. Zbl 1388.35189 Mrevlishvili, M.; Natroshvili, David 1 2011 Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics. Zbl 1194.65142 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 20 2010 An application of the reciprocity gap functional to inverse mixed impedance problems in elasticity. Zbl 1197.35310 Athanasiadis, Christodoulos E.; Natroshvili, David; Sevroglou, Vassilios; Stratis, Ioannis G. 6 2010 A boundary variational inequality approach to unilateral contact problems with friction for micropolar hemitropic solids. Zbl 1204.35160 Gachechiladze, A.; Gachechiladze, R.; Gwinner, J.; Natroshvili, D. 4 2010 Boundary integral equation methods in the theory of elasticity of hemitropic materials: a brief review. Zbl 1350.74025 Natroshvili, David; Stratis, Ioannis G.; Zazashvili, Shota 3 2010 On the uniqueness of a solution to anisotropic Maxwell’s equations. Zbl 1192.78014 Buchukuri, T.; Duduchava, R.; Kapanadze, D.; Natroshvili, D. 2 2010 Localized boundary-domain integral equation formulation for mixed type problems. Zbl 1198.35073 Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David 2 2010 Cusped elastic beams under the action of stresses and concentrated forces. Zbl 1423.74462 Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D. 1 2010 Interface crack problems for metallic-piezoelectric composite structures. Zbl 1186.35218 Natroshvili, D.; Stratis, I. G.; Zazashvili, S. 1 2010 Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility. Zbl 1204.65139 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 45 2009 Mixed boundary value problems of thermopiezoelectricity for solids with interior cracks. Zbl 1183.35263 Buchukuri, T.; Chkadua, O.; Natroshvili, D. 11 2009 Solvability and regularity results to boundary-transmission problems for metallic and piezoelectric elastic materials. Zbl 1180.35511 Buchukuri, T.; Chkadua, O.; Natroshvili, D.; Sändig, A.-M. 6 2009 Analysis of some localized boundary-domian integral equations. Zbl 1175.65141 Chkadua, O.; Mikhailov, S. E.; Natroshvilli, D. 6 2009 Mathematical problems of thermoelasticity for hemitropic solids. Zbl 1197.35287 Natroshvili, David; Giorgashvili, Levan; Zazashvili, Shota 4 2009 Boundary-contact problems for elastic hemitropic bodies. Zbl 1423.74664 Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David 3 2009 Unilateral contact problems with friction for hemitropic elastic solids. Zbl 1187.35112 Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David 3 2009 Representation formulas of general solutions to the static equations of the hemitropic elasticity theory. Zbl 1171.74007 Giorgashvili, L.; Natroshvili, D. 2 2009 Existence and uniqueness theorems for cusped prismatic shells in the \(N\)th hierarchical model. Zbl 1140.74016 Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D. 8 2008 Interaction problems of metallic and piezoelectric materials with regard to thermal stresses. Zbl 1167.74016 Buchukuri, T.; Chkadua, O.; Natroshvili, D.; Sändig, A.-M. 2 2008 Transmission problems in the theory of elastic hemitropic materials. Zbl 1136.74018 Natroshvili, David; Gachechiladze, Roland; Gachechiladze, Avtandil; Stratis, Ioannis G. 10 2007 Mixed type boundary value problems in the linear theory of elastic mixtures for bodies with interior cuts. Zbl 1147.35028 Natroshvili, David; Zazashvili, Shota 1 2007 Mathematical problems of the theory of elasticity of chiral materials for Lipschitz domains. Zbl 1129.74020 Natroshvili, David; Stratis, Ioannis G. 12 2006 Representation formulae of general solutions in the theory of hemitropic elasticity. Zbl 1107.74005 Natroshvili, David; Giorgashvili, Levan; Stratis, Ioannis G. 9 2006 A boundary variational inequality approach to unilateral contact with hemitropic materials. Zbl 1174.35400 Gachechiladze, R.; Gwinner, J.; Natroshvili, D. 6 2006 The potential method for the reactance wave diffraction problem in a scale of spaces. Zbl 1220.35023 Castro, Luis P.; Natroshvili, David 4 2006 Steady state oscillation problems in the theory of elasticity for chiral materials. Zbl 1108.35048 Natroshvili, David; Giorgashvili, Levan; Zazashvili, Shota 13 2005 Some remarks concerning Jones eigenfrequencies and Jones modes. Zbl 1138.74327 Natroshvili, David; Sadunishvili, Guram; Sigua, Irine 4 2005 Fluid-solid interaction: acoustic scattering by an elastic obstacle with Lipschitz boundary. Zbl 1186.74040 Natroshvili, D.; Sadunishvili, D.; Sigua, I.; Tediashvili, Z. 2 2005 Two-dimensional hierarchical models for prismatic shells with thickness vanishing at the boundary. Zbl 1076.74038 Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.; Wendland, W. L. 12 2004 Mathematical problems of the theory of elasticity of chiral materials. Zbl 1183.74027 Natroshvili, D.; Giorgashvili, L.; Stratis, I. G. 11 2003 Uniqueness, existence, and integral equation formulations for interface scattering problems. Zbl 1081.35065 Natroshvili, David; Arens, Tilo; Chandler-Wilde, Simon N. 7 2003 The Dirichlet metaharmonic Green’s function for unbounded regions. Zbl 1055.31002 Natroshvili, David; Chandler-Wilde, Simon N. 1 2003 Boundary variational inequality approach in the anisotropic elasticity for the Signorini problem. Zbl 1008.35032 Gachechiladze, A.; Natroshvili, D. 5 2001 Mixed type direct and inverse scattering problems. Zbl 1149.35396 Natroshvili, David; Tediashvili, Zurab 2 2001 Direct and inverse fluid-structure interaction problems. Zbl 1169.35322 Natroshvili, D.; Kharibegashvili, S.; Tediashvili, Z. 13 2000 Some mathematical problems related to the first approximation of I. Vekua’s theory for cusped prismatic shells. Zbl 1154.74354 Devdariani, G.; Jaiani, G.; Natroshvili, D.; Kharibegashvili, S. 2 2000 Fluid-structure interaction problems. Zbl 0998.74028 Natroshvili, D.; Sändig, A.-M.; Wendland, W. L. 1 2000 General transmission problems in the theory of elastic oscillations of anisotropic bodies (mixed interface problems). Zbl 1066.74546 Jentsch, Lothar; Natroshvili, David; Wendland, Wolfgang L. 6 1999 Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II. Zbl 1060.35533 Jentsch, Lothar; Natroshvili, David 6 1999 Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. I. Zbl 0943.35096 Jentsch, Lothar; Natroshvili, David 5 1999 Nonlocal approach in mathematical problems of fluid-structure interaction. Zbl 0959.35138 Jentsch, Lothar; Natroshvili, David 5 1999 General transmission problems in the theory of elastic oscillations of anisotropic bodies (basic interface problems). Zbl 0910.73016 Jentsch, Lothar; Natroshvili, David; Wendland, Wolfgang L. 10 1998 Mixed crack type problem in anisotropic elasticity. Zbl 0901.73016 Duduchava, R.; Natroshvili, D. 7 1998 Boundary integral equation method in the steady state oscillation problems for ansiotropic bodies. Zbl 0872.35115 Natroshvili, David 22 1997 Interaction between thermoelastic and scalar oscillation fields. Zbl 0898.73014 Jentsch, L.; Natroshvili, D. 6 1997 Thermoelastic oscillations of anisotropic bodies. Zbl 0911.73019 Jentsch, L.; Natroshvili, D. 1 1997 Non-classical mixed interface problems for anisotropic bodies. Zbl 0854.73009 Jentsch, Lothar; Natroshvili, David 6 1996 Interaction of elastic and scalar fields. Zbl 0864.35107 Natroshvili, David; Sadunishvili, Guram 5 1996 Two-dimensional steady-state oscillation problems of anisotropic elasticity. Zbl 0848.35022 Natroshvili, D. 4 1996 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 Mixed interface problems for anisotropic elastic bodies. Zbl 0845.35125 Natroshvili, D. 5 1995 Non-classical interface problems for piecewise homogeneous anisotropic elastic bodies. Zbl 0813.73058 Jentsch, Lothar; Natroshvili, David 5 1995 Mathematical problems of the anisotropic elasticity for piece-wise homogeneous bodies. Zbl 0830.73009 Natroshvili, David 3 1994 Mixed problems for homogeneous anisotropic elastic media. Zbl 1016.35502 Natroshvili, D. G.; Chkadua, O. O.; Shargorodskij, E. M. 23 1990 Boundary value problems of the mathematical theory of cracks. Zbl 1016.35501 Duduchava, R.; Natroshvili, D.; Shargorodskij, E. 22 1990 The method of generalized series in the anisotropic theory of elasticity. Zbl 1014.35016 Natroshvili, D. G. 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 Potential methods in the problems of linear theory of elastic mixtures. Zbl 0686.73056 Natroshvili, David; Svanadze, Merab 1 1989 Dynamic problems of thermoelasticity for anisotropic homogeneous media. Zbl 0535.73008 Natroshvili, D. G. 1 1984 Solution of some contact boundary value problems of the theory of elasticity. (Reshenie nekotorykh granichnokontaktnykh zadach teorii uprugosti). Zbl 0473.73124 Natroshvili, D. G.; Dzhagmaidze, A. Ya.; Svanadze, M. Zh. 1 1980 On the fundamental matrices of the equations of stationary oscillations and pseudooscillations of the anisotropic theory of elasticity. Zbl 0416.35018 Natroshvili, D. G. 1 1979 Estimates of Green’s tensors in elasticity theory. Zbl 0449.73024 Natroshvili, D. G. 1 1978 all cited Publications top 5 cited Publications all top 5 Cited by 198 Authors 43 Natroshvili, David 22 Mikhailov, Sergey E. 21 Wendland, Wolfgang L. 19 Chkadua, Otar 15 Duduchava, Roland 14 Kohr, Mirela 11 Fresneda-Portillo, Carlos 8 Jaiani, George V. 8 Kapanadze, David 7 Pinheiro de Castro, Luís Filipe 7 Jentsch, Lothar 7 Zazashvili, Shota 6 Gachechiladze, Avtandil 6 Gachechiladze, Roland 6 Giorgashvili, Levan 6 Sevroglou, Vassilios 6 Stratis, Ioannis G. 6 Yang, Jiaqing 6 Zhang, Bo 5 Athanasiadis, Christodoulos E. 5 Athanasiadou, Evagelia S. 5 Buchukuri, Tengiz 5 Chinchaladze, Natalia 4 Gilbert, Robert Pertsch 4 Gwinner, Joachim 4 Iesan, Dorin 4 Kharibegashvili, S. S. 4 Lanza de Cristoforis, Massimo 4 Qu, Fenglong 3 Ayele, Tsegaye G. 3 Chapko, Roman 3 Chkadua, George 3 Cui, Yanli 3 Demiralp, Metin 3 Glushko, Andrey V. 3 Johansson, B. Tomas 3 Li, Jianliang 3 Malaspina, Angelica 3 Picard, Rainer H. 3 Rabinovich, Vladimir Samuilovich 3 Ryabenko, Aleksandr S. 3 Tsertsvadze, Tornike 3 Tuna, Süha 3 Woldemicheal, Zenebe W. 2 Agranovich, Mikhail Semënovich 2 Arkoudis, I. 2 Avalishvili, Gia 2 Avalishvili, Mariam 2 Bekele, Solomon T. 2 Beshley, Andriy 2 Böhmer, Christian G. 2 Cialdea, Alberto 2 Costabel, Martin 2 Dauge, Monique 2 Groşan, Teodor S. 2 Gutt, Robert 2 Hsiao, George Chia-Chu 2 Janjgava, Roman 2 Jiang, Quan 2 Kaikina, Elena Igorevna 2 Leonessa, Vita 2 Loginova, Ekaterina A. 2 Monk, Peter B. 2 Mrevlishvili, Maia 2 Nakamura, Gen 2 Nigam, Nilima 2 Petrova, Vera E. 2 Rozenblum, Grigori V. 2 Sändig, Anna-Margarete 2 Selgas, Virginia 2 Shargorodsky, Eugene 2 Skhvitaridze, Ketevan 2 Speck, Frank-Olme 2 Toloraia, Anika 2 Trostorff, Sascha 2 Tsaava, Medea 2 Wang, Jenn-Nan 2 Waurick, Marcus 2 Yang, Fengpeng 2 Zhang, Haiwen 2 Zhou, ZhiDong 2 Zoi, Stefania 1 Abdusalam, H. A. 1 Al-Ali, A. Y. 1 Almutairi, K. H. 1 Antil, Harbir 1 Basak, Nirupam 1 Bécache, Eliane 1 Bezhuashvili, Yu. A. 1 Bîrsan, Mircea 1 Bonnet-Ben Dhia, Anne-Sophie 1 Bonnet, Marc 1 Borachok, Ihor 1 Brown, Thomas S. 1 Burchuladze, D. 1 Chandler-Wilde, Simon N. 1 Chen, Jubing 1 Chernikova, A. S. 1 Chinchaladze, N. B. 1 Criado-Aldeanueva, Francisco ...and 98 more Authors all top 5 Cited in 91 Serials 15 Mathematical Methods in the Applied Sciences 15 Georgian Mathematical Journal 12 Transactions of A. Razmadze Mathematical Institute 11 Applicable Analysis 9 Journal of Integral Equations and Applications 7 Journal of Mathematical Analysis and Applications 7 Mathematische Nachrichten 6 Journal of Elasticity 6 Complex Variables and Elliptic Equations 5 Integral Equations and Operator Theory 4 SIAM Journal on Applied Mathematics 4 Journal of Mathematical Fluid Mechanics 3 Acta Mechanica 3 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Mathematical Sciences (New York) 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Communications on Pure and Applied Analysis 3 Inverse Problems and Imaging 2 Inverse Problems 2 Journal of Engineering Mathematics 2 Functional Analysis and its Applications 2 Journal of Computational and Applied Mathematics 2 Numerical Functional Analysis and Optimization 2 Transactions of the American Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Computational Mathematics and Mathematical Physics 2 Calculus of Variations and Partial Differential Equations 2 Engineering Analysis with Boundary Elements 2 Journal of Mathematical Chemistry 2 Mathematics and Mechanics of Solids 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Computational Methods in Applied Mathematics 2 Boundary Value Problems 2 Inverse Problems in Science and Engineering 2 Advances in Mathematical Physics 1 Archives of Mechanics 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Engineering Science 1 International Journal of Solids and Structures 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Computation 1 Journal of Differential Equations 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Optimization 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Archive of Applied Mechanics 1 Continuum Mechanics and Thermodynamics 1 Potential Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 Journal of the Egyptian Mathematical Society 1 Memoirs on Differential Equations and Mathematical Physics 1 Journal of Inverse and Ill-Posed Problems 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Differential Equations 1 Analysis and Applications (Singapore) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 SIAM Journal on Imaging Sciences 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Advances in Applied Mathematics and Mechanics 1 Journal of Pseudo-Differential Operators and Applications 1 Journal of Spectral Theory 1 Mathematics 1 Research in the Mathematical Sciences 1 Advances in Operator Theory 1 SN Partial Differential Equations and Applications all top 5 Cited in 19 Fields 165 Partial differential equations (35-XX) 114 Mechanics of deformable solids (74-XX) 38 Numerical analysis (65-XX) 37 Operator theory (47-XX) 36 Integral equations (45-XX) 25 Potential theory (31-XX) 17 Fluid mechanics (76-XX) 17 Optics, electromagnetic theory (78-XX) 16 Functional analysis (46-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 2 Approximations and expansions (41-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Systems theory; control (93-XX) Citations by Year