პუბლიკაციები

Kapanadze, D., Pesetskaya, E. (2023). Half-plane diffraction problems on a triangular lattice. Journal of Engineering Mathematics.

Kapanadze, D., Pesetskaya, E. (2021). Diffraction problems for two-dimensional lattice waves in a quadrant. Wave Motion 100, Article ID 102671

Kapanadze, D. (2021). On the discrete problem of wave diffraction by semiinfinite rigid constraint. Trans. A. Razmadze Math. Inst. 175, No. 3, 443-449

Kapanadze, D. (2021). The far-field behaviour of Green’s function for a triangular lattice and radiation conditions. Math. Methods Appl. Sci. 44, No. 17, 12746-12759

Kapanadze, D. (2019). Wave propagation through a square lattice with sources on line segments. Trans. A. Razmadze Math. Inst. Journal Profile 173, No. 2, 111-119

Kapanadze, D. (2018). Exterior diffraction problems for two-dimensional square lattice. Z. Angew. Math. Phys. 69, No. 5, Paper No. 123.

Chkadua, O., Duduchava, R., Kapanadze, D. (2016). The screen type mixed boundary value problems for anisotropic pseudo-Maxwell’s equations. Georgian Math. J. 23 (4), 511-518

Kapanadze, D., Miszuris, W., Pesetskaya, E. (2016). Relationship between the effective thermal properties of linear and nonlinear doubly periodic composites. ZAMM - Journal of Applied Mathematics and Mechanics 96(7), 780–790

Chkadua, O., Duduchava, R., Kapanadze, D. (2016). Screen type problems for anisotropic pseudo-Maxwell’s equations. Ann. Funct. Anal. 7(2), 217–231

Chkadua, O., Duduchava, R., Kapanadze, D. (2015). The screen type Dirichlet boundary value problems for anisotropic pseudo-Maxwell's equations. Mem. Differential Equations Math. Phys. 66, 33–43

Kapanadze, D. (2015). On electromagnetic scattering problems for screens. Proc. A. Razmadze Math. Inst. 167, 119–122

Kapanadze, D., Mishuris, G., Pesetskaya, E. (2015). Exact solution of a nonlinear heat conduction problem in a doubly periodic 2D composite material. Arch. Mech. 67(2), 157–178

Castro, L.P., Kapanadze, D. (2015). Crack Impedance-Dirichlet Boundary Value Problems of Diffraction in a Half-plane. MESA - Mathematics in Engineering, Science and Aerospace 6(3), 551–566.

Castro, L.P., Kapanadze, D., Pesetskaya, E. (2015). Effective conductivity of a compositematerial with stiff imperfect contact conditions. Math. Methods Appl. Sci. 38, 4638–4649.

Castro, L.P., Kapanadze, D. (2015). Wave diffraction by wedges having arbitrary aperture angle. J. Math. Anal. Appl. 421, 1295–1314

Kapanadze, D., Mishuris, G., Pesetskaya, E. (2015). Improved algorithm for analytical solution of the heat conduction problem in doubly periodic 2D composite materials. Complex Variables and Elliptic Equations 60, 1–23.

Castro, L.P., Kapanadze, D. (2014). Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary. Commun. Math. Anal. 17, 45–65

Castro, L.P., Kapanadze, D., Pesetskaya, E. (2014). A heat conduction problem of 2D unbounded composites with imperfect contact conditions. ZAMM - Journal of Applied Mathematics and Mechanics 95(9), 952–965

Castro, L.P., Kapanadze, D. (2014). Mixed boundary value problems of diffraction by a halfplane with an obstacle perpendicular to the boundary. Math. Methods Appl. Sci. 37, 1412–1427

Castro, L.P., Kapanadze, D. (2013). The mixed boundary value problems of diffraction by a half-plane with a screen/crack perpendicular to the boundary. Proceedings of A. Razmadze Mathematical Institute 162, 121– 126

Buchukuri, T., Duduchava, R., Kapanadze, D., Tsaava, M. (2013). Localization of a Helmholtz boundary value problem in a domain with piecewise-smooth boundary. Proceedings of A. Razmadze Mathematical Institute 162, 37–44.

Castro, L.P., Kapanadze, D. (2013). Wave diffraction by a half-plane with an obstacle perpendicular to the boundary. J. Differential Equations 254, 493–510

Chkadua, O., Duduchava, R., Kapanadze, D. (2013). Potential methods for anisotropic pseudo-Maxwell's equations in screen type problem. Operator Theory: Advances and Applications 228, 73–93