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Kapanadze, David

Co-Author Distance
Author ID: kapanadze.david Recent zbMATH articles by "Kapanadze, David"
Published as: Kapanadze, D.; Kapanadze, David
Homepage: http://www.rmi.ge/~daka/
External Links: MGP · ORCID · Google Scholar · ResearchGate
Documents Indexed: 55 Publications since 1999, including 1 Book and 2 Additional arXiv Preprints
Reviewing Activity: 75 Reviews
Co-Authors: 13 Co-Authors with 45 Joint Publications
302 Co-Co-Authors
all top 5

Co-Authors

9 single-authored
19 Pinheiro de Castro, Luís Filipe
10 Duduchava, Roland
10 Schulze, Bert-Wolfgang
8 Pesetskaya, Ekaterina V.
5 Chkadua, Otar
2 Buchukuri, Tengiz
2 Mishuris, Gennady S.
2 Natroshvili, David
1 Miszuris, Wiktoria
1 Seiler, Jörg
1 Shargorodsky, Eugene
1 Tsaava, Medea
1 Vashakidze, Zurab
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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Transactions of A. Razmadze Mathematical Institute
1 Archives of Mechanics
1 Journal of Engineering Mathematics
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 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

45 Partial differential equations (35-XX)
16 Optics, electromagnetic theory (78-XX)
15 Operator theory (47-XX)
10 Global analysis, analysis on manifolds (58-XX)
9 Mechanics of deformable solids (74-XX)
6 Integral equations (45-XX)
5 Difference and functional equations (39-XX)
2 Ordinary differential equations (34-XX)
2 Functional analysis (46-XX)
2 Fluid mechanics (76-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 Dynamical systems and ergodic theory (37-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

33 Publications have been cited 205 times in 129 Documents Cited by ▼ Year ▼
Crack theory and edge singularities. Zbl 1053.58010
Kapanadze, David; Schulze, B.-Wolfgang
49
2003
Improved algorithm for analytical solution of the heat conduction problem in doubly periodic 2D composite materials. Zbl 1316.30041
Kapanadze, D.; Mishuris, G.; Pesetskaya, E.
16
2015
Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions. Zbl 1189.35396
Castro, L. P.; Kapanadze, D.
14
2010
Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. Zbl 1185.35055
Castro, L. P.; Kapanadze, D.
12
2008
Wave diffraction by wedges having arbitrary aperture angle. Zbl 1300.35005
Castro, L. P.; Kapanadze, D.
10
2015
Exact solution of a nonlinear heat conduction problem in a doubly periodic 2D composite material. Zbl 1329.80005
Kapanadze, D.; Mishuris, G.; Pesetskaya, E.
9
2015
The impedance boundary-value problem of diffraction by a strip. Zbl 1151.35015
Castro, L. P.; Kapanadze, D.
8
2008
A heat conduction problem of 2D unbounded composites with imperfect contact conditions. Zbl 1326.74037
Castro, L. P.; Kapanadze, D.; Pesetskaya, E.
7
2015
Wave diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1259.35071
Castro, L. P.; Kapanadze, D.
6
2013
Wave diffraction by a strip with first and second kind boundary conditions: The real wave number case. Zbl 1180.35182
Castro, L. P.; Kapanadze, D.
6
2008
Boundary value problems on manifolds with exits to infinity. Zbl 1072.35217
Schulze, B. W.; Kapanadze, D.
6
2000
On wave diffraction by a half-plane with different face impedances. Zbl 1128.78005
Castro, L. P.; Kapanadze, D.
6
2007
Effective conductivity of a composite material with stiff imperfect contact conditions. Zbl 1345.31005
Castro, L. P.; Kapanadze, D.; Pesetskaya, E.
6
2015
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.
5
2013
Exterior diffraction problems for two-dimensional square lattice. Zbl 1414.78005
Kapanadze, David
5
2018
Operators with singular trace conditions on a manifold with edges. Zbl 1154.58012
Kapanadze, D.; Schulze, B.-W.; Seiler, J.
5
2008
Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions. Zbl 1145.78308
Castro, L. P.; Kapanadze, D.
5
2008
Boundary-contact problems for domains with conical singularities. Zbl 1154.35341
Kapanadze, David; Schulze, B.-Wolfgang
5
2005
Pseudo-differential crack theory. Zbl 0981.35111
Kapanadze, D.; Schulze, B.-W.
4
2001
Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions. Zbl 1235.35185
Castro, L.; Kapanadze, D.
3
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
Extended normal vector field and the Weingarten map on hypersurfaces. Zbl 1163.53003
Duduchava, Roland; Kapanadze, David
2
2008
Boundary-contact problems for domains with edge singularities. Zbl 1136.35026
Kapanadze, David; Schulze, B.-Wolfgang
2
2007
Symbolic calculus for boundary value problems on manifolds with edges. Zbl 1024.58010
Kapanadze, D.; Schulze, B.-W.
2
2003
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1294.35009
Castro, Luis P.; Kapanadze, David
2
2014
Coordinate invariance of the cone algebra with asymptotics. Zbl 1060.58017
Kapanadze, D.; Schulze, B.-W.; Witt, I.
2
2002
Mixed boundary value problems of diffraction by a half-plane with a screen/crack perpendicular to the boundary. Zbl 1290.35042
Castro, L. P.; Kapanadze, D.
1
2013
Potential methods for anisotropic pseudo-Maxwell equations in screen type problems. Zbl 1276.35066
Chkadua, O.; Duduchava, R.; Kapanadze, D.
1
2013
Diffraction by a strip and by a half-plane with variable face impedances. Zbl 1189.35053
Castro, Luís P.; Kapanadze, David
1
2008
The far-field behaviour of Green’s function for a triangular lattice and radiation conditions. Zbl 1478.78026
Kapanadze, David
1
2021
Diffraction problems for two-dimensional lattice waves in a quadrant. Zbl 1524.78034
Kapanadze, D.; Pesetskaya, E.
1
2021
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
The far-field behaviour of Green’s function for a triangular lattice and radiation conditions. Zbl 1478.78026
Kapanadze, David
1
2021
Diffraction problems for two-dimensional lattice waves in a quadrant. Zbl 1524.78034
Kapanadze, D.; Pesetskaya, E.
1
2021
Exterior diffraction problems for two-dimensional square lattice. Zbl 1414.78005
Kapanadze, David
5
2018
Screen type problems for anisotropic pseudo-Maxwell’s equations. Zbl 1335.35043
Chkadua, Otar; Duduchava, Roland; Kapanadze, David
1
2016
Improved algorithm for analytical solution of the heat conduction problem in doubly periodic 2D composite materials. Zbl 1316.30041
Kapanadze, D.; Mishuris, G.; Pesetskaya, E.
16
2015
Wave diffraction by wedges having arbitrary aperture angle. Zbl 1300.35005
Castro, L. P.; Kapanadze, D.
10
2015
Exact solution of a nonlinear heat conduction problem in a doubly periodic 2D composite material. Zbl 1329.80005
Kapanadze, D.; Mishuris, G.; Pesetskaya, E.
9
2015
A heat conduction problem of 2D unbounded composites with imperfect contact conditions. Zbl 1326.74037
Castro, L. P.; Kapanadze, D.; Pesetskaya, E.
7
2015
Effective conductivity of a composite material with stiff imperfect contact conditions. Zbl 1345.31005
Castro, L. P.; Kapanadze, D.; Pesetskaya, E.
6
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
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1294.35009
Castro, Luis P.; Kapanadze, David
2
2014
Wave diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1259.35071
Castro, L. P.; Kapanadze, D.
6
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.
5
2013
Mixed boundary value problems of diffraction by a half-plane with a screen/crack perpendicular to the boundary. Zbl 1290.35042
Castro, L. P.; Kapanadze, D.
1
2013
Potential methods for anisotropic pseudo-Maxwell equations in screen type problems. Zbl 1276.35066
Chkadua, O.; Duduchava, R.; Kapanadze, D.
1
2013
Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions. Zbl 1235.35185
Castro, L.; Kapanadze, D.
3
2011
Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions. Zbl 1189.35396
Castro, L. P.; Kapanadze, D.
14
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
Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. Zbl 1185.35055
Castro, L. P.; Kapanadze, D.
12
2008
The impedance boundary-value problem of diffraction by a strip. Zbl 1151.35015
Castro, L. P.; Kapanadze, D.
8
2008
Wave diffraction by a strip with first and second kind boundary conditions: The real wave number case. Zbl 1180.35182
Castro, L. P.; Kapanadze, D.
6
2008
Operators with singular trace conditions on a manifold with edges. Zbl 1154.58012
Kapanadze, D.; Schulze, B.-W.; Seiler, J.
5
2008
Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions. Zbl 1145.78308
Castro, L. P.; Kapanadze, D.
5
2008
Extended normal vector field and the Weingarten map on hypersurfaces. Zbl 1163.53003
Duduchava, Roland; Kapanadze, David
2
2008
Diffraction by a strip and by a half-plane with variable face impedances. Zbl 1189.35053
Castro, Luís P.; Kapanadze, David
1
2008
On wave diffraction by a half-plane with different face impedances. Zbl 1128.78005
Castro, L. P.; Kapanadze, D.
6
2007
Boundary-contact problems for domains with edge singularities. Zbl 1136.35026
Kapanadze, David; Schulze, B.-Wolfgang
2
2007
Boundary-contact problems for domains with conical singularities. Zbl 1154.35341
Kapanadze, David; Schulze, B.-Wolfgang
5
2005
Crack theory and edge singularities. Zbl 1053.58010
Kapanadze, David; Schulze, B.-Wolfgang
49
2003
Symbolic calculus for boundary value problems on manifolds with edges. Zbl 1024.58010
Kapanadze, D.; Schulze, B.-W.
2
2003
Coordinate invariance of the cone algebra with asymptotics. Zbl 1060.58017
Kapanadze, D.; Schulze, B.-W.; Witt, I.
2
2002
Pseudo-differential crack theory. Zbl 0981.35111
Kapanadze, D.; Schulze, B.-W.
4
2001
Boundary value problems on manifolds with exits to infinity. Zbl 1072.35217
Schulze, B. W.; Kapanadze, D.
6
2000
all cited Publications top 5 cited Publications
all top 5

Cited by 119 Authors

37 Schulze, Bert-Wolfgang
16 Kapanadze, David
13 Pinheiro de Castro, Luís Filipe
9 Duduchava, Roland
9 Musolino, Paolo
7 Chang, Der-Chen E.
6 Merzon, Anatolĭ E.
6 Pesetskaya, Ekaterina V.
5 de la Paz Méndez, José Eligio
5 Lanza de Cristoforis, Massimo
5 Seiler, Jörg
4 Hedayat Mahmoudi, M.
4 Khalil, Sara
3 Akel, Mohamed S.
3 Dalla Riva, Matteo
3 Dines, Nicoleta
3 Habal, Nadia
3 Harutyunyan, Gohar V.
3 Luzzini, Paolo
3 Pukhtayevych, Roman Petrovych
3 Qiao, Yu
3 Schrohe, Elmar
3 Vinh, Pham Chi
2 Ayub, Muhammad
2 Chkadua, Otar
2 Coriasco, Sandro
2 Komech, Alexander Ilich
2 Krainer, Thomas
2 Liu, Xiaochun
2 Lopes, Pedro T. P.
2 Lyu, Xiaojing
2 Nguyen Minh Tuan
2 Nistor, Victor
2 Qian, Tao
2 Tepoyan, Liparit
2 Tsaava, Medea
2 Villalba-Vega, T. J.
2 Wei, Yawei
2 Wong, Man Wah
2 Zhevandrov, Peter N.
1 Abdalla, Mohamed
1 Abed, Jamil
1 Abrahams, I. David
1 Aldawsari, Mona
1 Assier, Raphaël C.
1 Bao, Ellen Shiting
1 Borsuk, Mikhail V.
1 Buchukuri, Tengiz
1 Chehade, Samar
1 Darmon, Michel
1 Delouei, Amin Amiri
1 Didenko, Victor D.
1 Elshehabey, Hillal M.
1 Emamian, Amin
1 Esquivel Navarrete, A.
1 Fisanov, V. V.
1 Giang, Pham Thi Ha
1 Godin, Yuri A.
1 Gorenflo, Norbert
1 Guerra, Rita Correia
1 Hidan, Muajebah
1 Hue, Trinh Thi Thanh
1 Jing, Dengwei
1 Kamta Djakou, Audrey
1 Karimnejad, Sajjad
1 Khelifi, Abdessatar
1 Kian, Yavar
1 Krupchyk, Katya
1 Kunik, Matthias
1 Laustsen, Niels Jakob
1 Lebeau, Gilles
1 Li, Hengguang
1 Li, YanYan
1 Lihiou, Houssem
1 Loya, Paul A.
1 Luskin, Mitchell
1 Ma, Li
1 Maier, Matthias Sebastian
1 Mann, Amer Bilal
1 Margetis, Dionisios
1 Mazzucato, Anna L.
1 Melo, Severino Toscano
1 Mendoza, Gerardo A.
1 Minh, L. T.
1 Mirsalimov, Vagif M.
1 Mishuris, Gennady S.
1 Miszuris, Wiktoria
1 Mogilevskaya, Sofia G.
1 Mondal, Saiful Rahman
1 Morales Medina, José Roberto
1 Navarrete, Anel Esquivel
1 Nawaz, Rab
1 Nethercote, Matthew A.
1 Nguyen Ngoc Trong
1 Nguyen Quoc Cuong
1 Pirhayati, Mohammad
1 Rabinovich, Vladimir Samuilovich
1 Ramzan, Muhammad Babar
1 Roch, Steffen
1 Rodríguez, M. I. Romero
...and 19 more Authors
all top 5

Cited in 55 Serials

12 Journal of Pseudo-Differential Operators and Applications
11 Mathematical Methods in the Applied Sciences
6 Journal of Mathematical Analysis and Applications
5 Integral Equations and Operator Theory
4 Journal of Differential Equations
4 Mathematische Nachrichten
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Complex Analysis and Operator Theory
3 Journal of Functional Analysis
3 Georgian Mathematical Journal
2 Journal of Engineering Mathematics
2 Wave Motion
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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 Journal of Mathematical Sciences (New York)
2 European Journal of Mechanics. A. Solids
2 Mathematical Modelling and Analysis
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 Applied Mathematics and Computation
1 Journal of Approximation Theory
1 Journal of the Mathematical Society of Japan
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Meccanica
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Studies in Applied Mathematics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Mathematical and Computer Modelling
1 Asymptotic Analysis
1 The Journal of Geometric Analysis
1 Potential Analysis
1 Turkish Journal of Mathematics
1 Fractals
1 Advances in Applied Clifford Algebras
1 Bulletin des Sciences Mathématiques
1 Mathematics and Mechanics of Solids
1 Revista Matemática Complutense
1 Russian Physics Journal
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
1 La Matematica
all top 5

Cited in 25 Fields

97 Partial differential equations (35-XX)
35 Operator theory (47-XX)
29 Global analysis, analysis on manifolds (58-XX)
17 Integral equations (45-XX)
17 Optics, electromagnetic theory (78-XX)
16 Mechanics of deformable solids (74-XX)
11 Potential theory (31-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Functions of a complex variable (30-XX)
6 Fluid mechanics (76-XX)
4 Difference and functional equations (39-XX)
4 Functional analysis (46-XX)
3 Integral transforms, operational calculus (44-XX)
2 Ordinary differential equations (34-XX)
2 Abstract harmonic analysis (43-XX)
2 Numerical analysis (65-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 \(K\)-theory (19-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 Quantum theory (81-XX)

Citations by Year