Edit Profile (opens in new tab) Chkadua, Otar Co-Author Distance Author ID: chkadua.otar Published as: Chkadua, O.; Chkadua, Otar; Chkadua, O. O. more...less Homepage: https://rmi.tsu.ge/~/chkadua/ Documents Indexed: 58 Publications since 1981 Co-Authors: 9 Co-Authors with 48 Joint Publications 139 Co-Co-Authors all top 5 Co-Authors 8 single-authored 29 Natroshvili, David 16 Mikhailov, Sergey E. 15 Buchukuri, Tengiz 13 Duduchava, Roland 5 Kapanadze, David 2 Sändig, Anna-Margarete 2 Toloraia, Anika 1 Ediberidze, Ana 1 Shargorodsky, Eugene all top 5 Serials 13 Memoirs on Differential Equations and Mathematical Physics 8 Georgian Mathematical Journal 5 Mathematische Nachrichten 5 Transactions of A. Razmadze Mathematical Institute 4 Proceedings of A. Razmadze Mathematical Institute 3 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 3 Journal of Integral Equations and Applications 3 Bulletin of the Georgian Academy of Sciences 2 Mathematical Methods in the Applied Sciences 2 Integral Equations and Operator Theory 1 Numerical Methods for Partial Differential Equations 1 Soobshcheniya Akademii Nauk Gruzii 1 Russian Journal of Mathematical Physics 1 Trudy Instituta Prikladnoĭ Matematiki Imeni I. N. Vekua 1 Analysis and Applications (Singapore) 1 Annals of Functional Analysis all top 5 Fields 50 Partial differential equations (35-XX) 30 Mechanics of deformable solids (74-XX) 15 Operator theory (47-XX) 13 Integral equations (45-XX) 7 Potential theory (31-XX) 6 Numerical analysis (65-XX) 2 Functional analysis (46-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 293 times in 118 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 Pseudodifferential equations on manifolds with boundary: Fredholm property and asymptotic. Zbl 0985.47019 Chkadua, O.; Duduchava, R. 22 2001 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 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 Mathematical problems of generalized thermo-electro-magneto-elasticity theory. Zbl 1361.31005 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 13 2016 Asymptotics of functions represented by potentials. Zbl 1065.35508 Chkadua, O.; Duduchava, R. 13 2000 Mixed boundary value problems of thermopiezoelectricity for solids with interior cracks. Zbl 1183.35263 Buchukuri, T.; Chkadua, O.; Natroshvili, D. 11 2009 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 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 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 Boundary problems of thermopiezoelectricity in domains with cuspidal edges. Zbl 1010.74018 Buchukuri, T.; Chkadua, O. 4 2000 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 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 Solvability and asymptotics of solutions of crack-type boundary-contact problems of the ocuple-stress elasticity. Zbl 1149.74311 Chkadua, O. 3 2003 Some boundary-contact problems of the elasticity theory with mixed boundary conditions outside the contact surface. Zbl 0893.35028 Chkadua, O. 3 1997 Mixed and crack type problems of the thermopiezoelectricity theory without energy dissipation. Zbl 1403.35285 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 3 2018 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 The nonclassical boundary-contact problems of elasticity for homogeneous anisotropic media. Zbl 0827.73059 Chkadua, O. O. 2 1995 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 Localized boundary-domain integral equation formulation for mixed type problems. Zbl 1198.35073 Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David 2 2010 Asymptotics of solutions to some boundary value problems of elasticity for bodies with cuspidal edges. Zbl 0945.47039 Chkadua, Otar; Duduchava, Roland 1 1998 The boundary-contact problem of elasticity for homogeneous anisotropic media with a contact on some part of the boundaries. Zbl 0817.73053 Chkadua, O. 1 1995 The Dirichlet, Neumann and mixed boundary value problems of the theory of elasticity in \(n\)-dimensional domains with boundaries containing closed cuspidal edges. Zbl 0897.35026 Chkadua, O. 1 1998 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 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 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 Boundary-transmission problems of the thermo-piezo-electricity theory without energy dissipation. Zbl 1507.35277 Chkadua, O.; Toloraia, A. 1 2022 Mixed- and crack-type dynamical problems of electro-magneto-elasticity theory. Zbl 1472.74067 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 1 2021 Potential methods for anisotropic pseudo-Maxwell equations in screen type problems. Zbl 1276.35066 Chkadua, O.; Duduchava, R.; Kapanadze, D. 1 2013 Boundary-transmission problems of the thermo-piezo-electricity theory without energy dissipation. Zbl 1507.35277 Chkadua, O.; Toloraia, A. 1 2022 Mixed- and crack-type dynamical problems of electro-magneto-elasticity theory. Zbl 1472.74067 Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David 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 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 Screen type problems for anisotropic pseudo-Maxwell’s equations. Zbl 1335.35043 Chkadua, Otar; Duduchava, Roland; Kapanadze, David 1 2016 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 The screen type Dirichlet boundary value problems for anisotropic pseudo-Maxwell’s equations. Zbl 1337.35041 Chkadua, O.; Duduchava, R.; Kapanadze, D. 1 2015 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 Potential methods for anisotropic pseudo-Maxwell equations in screen type problems. Zbl 1276.35066 Chkadua, O.; Duduchava, R.; Kapanadze, D. 1 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 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 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 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 Localized boundary-domain integral equation formulation for mixed type problems. Zbl 1198.35073 Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David 2 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 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 Crack-type boundary value problems of electro-elasticity. Zbl 1050.74040 Buchukuri, Tengiz; Chkadua, Otar; Duduchava, Roland 1 2004 Solvability and asymptotics of solutions of crack-type boundary-contact problems of the ocuple-stress elasticity. Zbl 1149.74311 Chkadua, O. 3 2003 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 problems of thermopiezoelectricity in domains with cuspidal edges. Zbl 1010.74018 Buchukuri, T.; Chkadua, O. 4 2000 Asymptotics of potential-type functions. Zbl 1032.35050 Chkadua, O.; Duduchava, R. 1 1999 Asymptotics of solutions to some boundary value problems of elasticity for bodies with cuspidal edges. Zbl 0945.47039 Chkadua, Otar; Duduchava, Roland 1 1998 The Dirichlet, Neumann and mixed boundary value problems of the theory of elasticity in \(n\)-dimensional domains with boundaries containing closed cuspidal edges. Zbl 0897.35026 Chkadua, O. 1 1998 Some boundary-contact problems of the elasticity theory with mixed boundary conditions outside the contact surface. Zbl 0893.35028 Chkadua, O. 3 1997 The nonclassical boundary-contact problems of elasticity for homogeneous anisotropic media. Zbl 0827.73059 Chkadua, O. O. 2 1995 The boundary-contact problem of elasticity for homogeneous anisotropic media with a contact on some part of the boundaries. Zbl 0817.73053 Chkadua, O. 1 1995 Mixed problems for homogeneous anisotropic elastic media. Zbl 1016.35502 Natroshvili, D. G.; Chkadua, O. O.; Shargorodskij, E. M. 23 1990 all cited Publications top 5 cited Publications all top 5 Cited by 88 Authors 26 Natroshvili, David 22 Mikhailov, Sergey E. 21 Chkadua, Otar 16 Wendland, Wolfgang L. 14 Kohr, Mirela 11 Fresneda-Portillo, Carlos 10 Duduchava, Roland 5 Buchukuri, Tengiz 5 Zazashvili, Shota 4 Giorgashvili, Levan 4 Kapanadze, David 4 Lanza de Cristoforis, Massimo 3 Ayele, Tsegaye G. 3 Chapko, Roman 3 Chkadua, George 3 Demiralp, Metin 3 Glushko, Andrey V. 3 Grubb, Gerd 3 Johansson, B. Tomas 3 Rabinovich, Vladimir Samuilovich 3 Ryabenko, Aleksandr S. 3 Sändig, Anna-Margarete 3 Stratis, Ioannis G. 3 Tsertsvadze, Tornike 3 Tuna, Süha 3 Woldemicheal, Zenebe W. 2 Arkoudis, I. 2 Athanasiadis, Christodoulos E. 2 Athanasiadou, Evagelia S. 2 Bekele, Solomon T. 2 Beshley, Andriy 2 Pinheiro de Castro, Luís Filipe 2 Felli, Veronica 2 Groşan, Teodor S. 2 Gutt, Robert 2 Jiang, Quan 2 Kaikina, Elena Igorevna 2 Loginova, Ekaterina A. 2 Mrevlishvili, Maia 2 Petrova, Vera E. 2 Ros-Oton, Xavier 2 Sevroglou, Vassilios 2 Toloraia, Anika 2 Yang, Fengpeng 2 Zhou, ZhiDong 1 Agranovich, Mikhail Semënovich 1 Borachok, Ihor 1 Chen, Jubing 1 Chernikova, A. S. 1 Cialdea, Alberto 1 Costabel, Martin 1 Criado-Aldeanueva, Francisco 1 Dagnaw, Mulugeta A. 1 Dauge, Monique 1 De Luca, Alessandra 1 Dipierro, Serena 1 Dufera, Tamirat Temesgen 1 Ediberidze, Ana 1 Fernández-Real, Xavier 1 Georgiev, Svetlin Georgiev 1 Gorgisheli, Sveta 1 Grzhibovskis, Richards 1 Gwinner, Joachim 1 Janjgava, Roman 1 Jentsch, Lothar 1 Labarca, Ignacio 1 Langer, Ulrich 1 Leonessa, Vita 1 Majdoub, Mohamed 1 Malaspina, Angelica 1 Mazzucato, Anna L. 1 Medková, Dagmar 1 Mohamed, Nurul Akmal 1 Nicaise, Serge 1 Nistor, Victor 1 Odishelidze, Nana 1 Repin, Sergeĭ Igorevich 1 Rjasanow, Sergej 1 Rylko, Natalia 1 Samrowski, Tatiana S. 1 Schulze, Bert-Wolfgang 1 Serra Montolí, Joaquim 1 Shargorodsky, Eugene 1 Shavlakadze, Nuzgar 1 Siclari, Giovanni 1 Speck, Frank-Olme 1 Tsaava, Medea 1 Valdinoci, Enrico all top 5 Cited in 54 Serials 10 Georgian Mathematical Journal 10 Transactions of A. Razmadze Mathematical Institute 9 Mathematical Methods in the Applied Sciences 8 Journal of Integral Equations and Applications 5 Mathematische Nachrichten 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Fluid Mechanics 3 Computers & Mathematics with Applications 3 Integral Equations and Operator Theory 3 Communications on Pure and Applied Analysis 3 Complex Variables and Elliptic Equations 2 Applicable Analysis 2 Advances in Mathematics 2 Journal of Differential Equations 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 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Functional Analysis and its Applications 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Optimization 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 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 of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Potential Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Memoirs on Differential Equations and Mathematical Physics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Abstract and Applied Analysis 1 Computational Methods in Applied Mathematics 1 Analysis and Applications (Singapore) 1 Boundary Value Problems 1 Advances in Mathematical Physics 1 Advances in Applied Mathematics and Mechanics 1 Mathematics 1 Mathematics in Engineering 1 SN Partial Differential Equations and Applications all top 5 Cited in 16 Fields 101 Partial differential equations (35-XX) 33 Mechanics of deformable solids (74-XX) 27 Operator theory (47-XX) 26 Integral equations (45-XX) 19 Numerical analysis (65-XX) 17 Potential theory (31-XX) 11 Functional analysis (46-XX) 9 Fluid mechanics (76-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Global analysis, analysis on manifolds (58-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Functions of a complex variable (30-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Citations by Year