Edit Profile (opens in new tab) Kapanadze, David Compute Distance To: Compute Author ID: kapanadze.david Published as: Kapanadze, D.; Kapanadze, David Homepage: http://www.rmi.ge/~daka/ External Links: MGP · ORCID · Google Scholar · ResearchGate Documents Indexed: 51 Publications since 1999, including 1 Book Reviewing Activity: 60 Reviews Co-Authors: 11 Co-Authors with 42 Joint Publications 248 Co-Co-Authors all top 5 Co-Authors 9 single-authored 19 Pinheiro de Castro, Luís Filipe 10 Duduchava, Roland 10 Schulze, Bert-Wolfgang 5 Chkadua, Otar 5 Pesetskaya, Ekaterina V. 2 Buchukuri, Tengiz 2 Mishuris, Gennady S. 2 Natroshvili, David 1 Shargorodsky, Eugene 1 Tsaava, Medea 1 Witt, Ingo all top 5 Serials 5 Mathematical Methods in the Applied Sciences 5 Proceedings of A. Razmadze Mathematical Institute 4 Georgian Mathematical Journal 4 Memoirs on Differential Equations and Mathematical Physics 3 Journal of Differential Equations 2 Journal of Mathematical Analysis and Applications 2 Integral Equations and Operator Theory 2 Transactions of A. Razmadze Mathematical Institute 1 Archives of Mechanics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico 1 Bulletin of the Greek Mathematical Society 1 Acta Applicandae Mathematicae 1 Mathematical and Computer Modelling 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Fractional Calculus & Applied Analysis 1 Bulletin of TICMI 1 Seminar of I. Vekua Institute of Applied Mathematics. Reports 1 Mathematical Modelling and Analysis 1 Complex Variables and Elliptic Equations 1 Mathematics and its Applications (Dordrecht) 1 Communications in Mathematical Analysis 1 Annals of Functional Analysis all top 5 Fields 42 Partial differential equations (35-XX) 15 Operator theory (47-XX) 12 Optics, electromagnetic theory (78-XX) 10 Global analysis, analysis on manifolds (58-XX) 6 Integral equations (45-XX) 5 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 152 times in 97 Documents Cited by ▼ Year ▼ Crack theory and edge singularities. Zbl 1053.58010Kapanadze, David; Schulze, B.-Wolfgang 38 2003 Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions. Zbl 1189.35396Castro, L. P.; Kapanadze, D. 12 2010 Improved algorithm for analytical solution of the heat conduction problem in doubly periodic 2D composite materials. Zbl 1316.30041Kapanadze, D.; Mishuris, G.; Pesetskaya, E. 10 2015 Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. Zbl 1185.35055Castro, L. P.; Kapanadze, D. 9 2008 Wave diffraction by wedges having arbitrary aperture angle. Zbl 1300.35005Castro, L. P.; Kapanadze, D. 8 2015 The impedance boundary-value problem of diffraction by a strip. Zbl 1151.35015Castro, L. P.; Kapanadze, D. 8 2008 Exact solution of a nonlinear heat conduction problem in a doubly periodic 2D composite material. Zbl 1329.80005Kapanadze, D.; Mishuris, G.; Pesetskaya, E. 5 2015 Boundary-contact problems for domains with conical singularities. Zbl 1154.35341Kapanadze, David; Schulze, B.-Wolfgang 5 2005 On wave diffraction by a half-plane with different face impedances. Zbl 1128.78005Castro, L. P.; Kapanadze, D. 5 2007 Boundary value problems on manifolds with exits to infinity. Zbl 1072.35217Schulze, B. W.; Kapanadze, D. 5 2000 Operators with singular trace conditions on a manifold with edges. Zbl 1154.58012Kapanadze, D.; Schulze, B.-W.; Seiler, J. 5 2008 Wave diffraction by a strip with first and second kind boundary conditions: The real wave number case. Zbl 1180.35182Castro, L. P.; Kapanadze, D. 5 2008 Exterior diffraction problems for two-dimensional square lattice. Zbl 1414.78005Kapanadze, David 4 2018 Wave diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1259.35071Castro, L. P.; Kapanadze, D. 4 2013 Localization of a Helmholtz boundary value problem in a domain with piecewise-smooth boundary. Zbl 1290.35040Buchukuri, T.; Duduchava, R.; Kapanadze, D.; Tsaava, M. 4 2013 A heat conduction problem of 2D unbounded composites with imperfect contact conditions. Zbl 1326.74037Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 3 2015 Effective conductivity of a composite material with stiff imperfect contact conditions. Zbl 1345.31005Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 3 2015 Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions. Zbl 1145.78308Castro, L. P.; Kapanadze, D. 3 2008 Pseudo-differential crack theory. Zbl 0981.35111Kapanadze, D.; Schulze, B.-W. 2 2001 Symbolic calculus for boundary value problems on manifolds with edges. Zbl 1024.58010Kapanadze, D.; Schulze, B.-W. 2 2003 Boundary-contact problems for domains with edge singularities. Zbl 1136.35026Kapanadze, David; Schulze, B.-Wolfgang 2 2007 Extended normal vector field and the Weingarten map on hypersurfaces. Zbl 1163.53003Duduchava, Roland; Kapanadze, David 2 2008 The screen type Dirichlet boundary value problems for anisotropic pseudo-Maxwell’s equations. Zbl 1337.35041Chkadua, O.; Duduchava, R.; Kapanadze, D. 1 2015 Screen type problems for anisotropic pseudo-Maxwell’s equations. Zbl 1335.35043Chkadua, Otar; Duduchava, Roland; Kapanadze, David 1 2016 Coordinate invariance of the cone algebra with asymptotics. Zbl 1060.58017Kapanadze, D.; Schulze, B.-W.; Witt, I. 1 2002 Potential methods for anisotropic pseudo-Maxwell equations in screen type problems. Zbl 1276.35066Chkadua, O.; Duduchava, R.; Kapanadze, D. 1 2013 On the uniqueness of a solution to anisotropic Maxwell’s equations. Zbl 1192.78014Buchukuri, T.; Duduchava, R.; Kapanadze, D.; Natroshvili, D. 1 2010 Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions. Zbl 1235.35185Castro, L.; Kapanadze, D. 1 2011 Diffraction by a strip and by a half-plane with variable face impedances. Zbl 1189.35053Castro, Luís P.; Kapanadze, David 1 2008 Mixed boundary value problems of diffraction by a half-plane with a screen/crack perpendicular to the boundary. Zbl 1290.35042Castro, L. P.; Kapanadze, D. 1 2013 Exterior diffraction problems for two-dimensional square lattice. Zbl 1414.78005Kapanadze, David 4 2018 Screen type problems for anisotropic pseudo-Maxwell’s equations. Zbl 1335.35043Chkadua, Otar; Duduchava, Roland; Kapanadze, David 1 2016 Improved algorithm for analytical solution of the heat conduction problem in doubly periodic 2D composite materials. Zbl 1316.30041Kapanadze, D.; Mishuris, G.; Pesetskaya, E. 10 2015 Wave diffraction by wedges having arbitrary aperture angle. Zbl 1300.35005Castro, L. P.; Kapanadze, D. 8 2015 Exact solution of a nonlinear heat conduction problem in a doubly periodic 2D composite material. Zbl 1329.80005Kapanadze, D.; Mishuris, G.; Pesetskaya, E. 5 2015 A heat conduction problem of 2D unbounded composites with imperfect contact conditions. Zbl 1326.74037Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 3 2015 Effective conductivity of a composite material with stiff imperfect contact conditions. Zbl 1345.31005Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 3 2015 The screen type Dirichlet boundary value problems for anisotropic pseudo-Maxwell’s equations. Zbl 1337.35041Chkadua, O.; Duduchava, R.; Kapanadze, D. 1 2015 Wave diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1259.35071Castro, L. P.; Kapanadze, D. 4 2013 Localization of a Helmholtz boundary value problem in a domain with piecewise-smooth boundary. Zbl 1290.35040Buchukuri, T.; Duduchava, R.; Kapanadze, D.; Tsaava, M. 4 2013 Potential methods for anisotropic pseudo-Maxwell equations in screen type problems. Zbl 1276.35066Chkadua, O.; Duduchava, R.; Kapanadze, D. 1 2013 Mixed boundary value problems of diffraction by a half-plane with a screen/crack perpendicular to the boundary. Zbl 1290.35042Castro, L. P.; Kapanadze, D. 1 2013 Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions. Zbl 1235.35185Castro, L.; Kapanadze, D. 1 2011 Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions. Zbl 1189.35396Castro, L. P.; Kapanadze, D. 12 2010 On the uniqueness of a solution to anisotropic Maxwell’s equations. Zbl 1192.78014Buchukuri, T.; Duduchava, R.; Kapanadze, D.; Natroshvili, D. 1 2010 Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. Zbl 1185.35055Castro, L. P.; Kapanadze, D. 9 2008 The impedance boundary-value problem of diffraction by a strip. Zbl 1151.35015Castro, L. P.; Kapanadze, D. 8 2008 Operators with singular trace conditions on a manifold with edges. Zbl 1154.58012Kapanadze, D.; Schulze, B.-W.; Seiler, J. 5 2008 Wave diffraction by a strip with first and second kind boundary conditions: The real wave number case. Zbl 1180.35182Castro, L. P.; Kapanadze, D. 5 2008 Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions. Zbl 1145.78308Castro, L. P.; Kapanadze, D. 3 2008 Extended normal vector field and the Weingarten map on hypersurfaces. Zbl 1163.53003Duduchava, Roland; Kapanadze, David 2 2008 Diffraction by a strip and by a half-plane with variable face impedances. Zbl 1189.35053Castro, Luís P.; Kapanadze, David 1 2008 On wave diffraction by a half-plane with different face impedances. Zbl 1128.78005Castro, L. P.; Kapanadze, D. 5 2007 Boundary-contact problems for domains with edge singularities. Zbl 1136.35026Kapanadze, David; Schulze, B.-Wolfgang 2 2007 Boundary-contact problems for domains with conical singularities. Zbl 1154.35341Kapanadze, David; Schulze, B.-Wolfgang 5 2005 Crack theory and edge singularities. Zbl 1053.58010Kapanadze, David; Schulze, B.-Wolfgang 38 2003 Symbolic calculus for boundary value problems on manifolds with edges. Zbl 1024.58010Kapanadze, D.; Schulze, B.-W. 2 2003 Coordinate invariance of the cone algebra with asymptotics. Zbl 1060.58017Kapanadze, D.; Schulze, B.-W.; Witt, I. 1 2002 Pseudo-differential crack theory. Zbl 0981.35111Kapanadze, D.; Schulze, B.-W. 2 2001 Boundary value problems on manifolds with exits to infinity. Zbl 1072.35217Schulze, B. W.; Kapanadze, D. 5 2000 all cited Publications top 5 cited Publications all top 5 Cited by 87 Authors 30 Schulze, Bert-Wolfgang 13 Kapanadze, David 12 Pinheiro de Castro, Luís Filipe 7 Duduchava, Roland 5 Chang, Der-Chen E. 5 Musolino, Paolo 5 Pesetskaya, Ekaterina V. 4 Merzon, Anatolĭ E. 4 Seiler, Jörg 3 de la Paz Méndez, José Eligio 3 Dines, Nicoleta 3 Harutyunyan, Gohar V. 3 Hedayat Mahmoudi, M. 3 Khalil, Sara 3 Lanza de Cristoforis, Massimo 3 Qiao, Yu 3 Schrohe, Elmar 3 Vinh, Pham Chi 2 Ayub, Muhammad 2 Coriasco, Sandro 2 Habal, Nadia 2 Krainer, Thomas 2 Liu, Xiaochun 2 Lopes, Pedro T. P. 2 Luzzini, Paolo 2 Lyu, Xiaojing 2 Nistor, Victor 2 Pukhtayevych, Roman Petrovych 2 Qian, Tao 2 Tsaava, Medea 2 Wei, Yawei 1 Abrahams, I. David 1 Akel, Mohamed S. 1 Aldawsari, Mona 1 Assier, Raphaël C. 1 Bao, Ellen Shiting 1 Borsuk, Mikhail V. 1 Buchukuri, Tengiz 1 Chehade, Samar 1 Chkadua, Otar 1 Dalla Riva, Matteo 1 Darmon, Michel 1 Didenko, Victor D. 1 Elshehabey, Hillal M. 1 Fisanov, V. V. 1 Giang, Pham Thi Ha 1 Gorenflo, Norbert 1 Hue, Trinh Thi Thanh 1 Kamta Djakou, Audrey 1 Khelifi, Abdessatar 1 Komech, Alexander Ilich 1 Kunik, Matthias 1 Lebeau, Gilles 1 Li, Hengguang 1 Li, YanYan 1 Lihiou, Houssem 1 Loya, Paul A. 1 Ma, Li 1 Mann, Amer Bilal 1 Mazzucato, Anna L. 1 Melo, Severino Toscano 1 Mendoza, Gerardo A. 1 Minh, L. T. 1 Mirsalimov, Vagif M. 1 Mondal, Saiful Rahman 1 Morales Medina, José Roberto 1 Navarrete, Anel Esquivel 1 Nawaz, Rab 1 Nethercote, Matthew A. 1 Nguyen Minh Tuan 1 Pirhayati, Mohammad 1 Rabinovich, Vladimir Samuilovich 1 Roch, Steffen 1 Roidos, Nikolaos 1 Rojas, Edixon Manuel 1 Santos, Pedro A. 1 Shirai, Akira 1 Silvestre, Ana Leonor 1 Speck, Frank-Olme 1 Tephnadze, George 1 Villalba-Vega, T. J. 1 Volpato, Andrea 1 Wong, Man Wah 1 Xuan, Nguyen Quynh 1 Yin, Biao 1 Yoshino, Masafumi 1 Zhevandrov, Peter N. all top 5 Cited in 47 Serials 11 Journal of Pseudo-Differential Operators and Applications 6 Journal of Mathematical Analysis and Applications 6 Mathematical Methods in the Applied Sciences 5 Integral Equations and Operator Theory 4 Journal of Differential Equations 4 Complex Analysis and Operator Theory 3 Mathematische Nachrichten 3 Georgian Mathematical Journal 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Functional Analysis 2 Monatshefte für Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 Annals of Global Analysis and Geometry 2 Journal of Integral Equations and Applications 2 Communications in Partial Differential Equations 2 Complex Variables and Elliptic Equations 2 Transactions of A. Razmadze Mathematical Institute 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 International Journal of Engineering Science 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Applied Mathematics and Computation 1 Journal of Approximation Theory 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Meccanica 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Mathematical and Computer Modelling 1 The Journal of Geometric Analysis 1 Potential Analysis 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Mathematics and Mechanics of Solids 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Revista Matemática Complutense 1 European Journal of Mechanics. A. Solids 1 Russian Physics Journal 1 Mathematical Modelling and Analysis 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mediterranean Journal of Mathematics 1 Networks and Heterogeneous Media 1 Asian-European Journal of Mathematics 1 Analysis and Mathematical Physics all top 5 Cited in 23 Fields 71 Partial differential equations (35-XX) 31 Operator theory (47-XX) 26 Global analysis, analysis on manifolds (58-XX) 13 Integral equations (45-XX) 11 Mechanics of deformable solids (74-XX) 10 Optics, electromagnetic theory (78-XX) 9 Potential theory (31-XX) 7 Fluid mechanics (76-XX) 5 Functions of a complex variable (30-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 2 Difference and functional equations (39-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year