Natroshvili, David; Tsertsvadze, Tornike On an alternative approach for mixed boundary value problems for the Lamé system. (English) Zbl 1516.35208 J. Elasticity 153, No. 3, 399-422 (2023). MSC: 35J57 35B65 PDFBibTeX XMLCite \textit{D. Natroshvili} and \textit{T. Tsertsvadze}, J. Elasticity 153, No. 3, 399--422 (2023; Zbl 1516.35208) Full Text: DOI
Natroshvili, David; Tsertsvadze, Tornike Mixed boundary value problems for the Helmholtz equation. (English) Zbl 1517.35103 J. Integral Equations Appl. 34, No. 4, 475-488 (2022). MSC: 35J05 35J25 35B65 PDFBibTeX XMLCite \textit{D. Natroshvili} and \textit{T. Tsertsvadze}, J. Integral Equations Appl. 34, No. 4, 475--488 (2022; Zbl 1517.35103) Full Text: DOI Link
Natroshvili, David; Tsertsvadze, Tornike On an alternative approach for mixed boundary value problems for the Laplace equation. (English) Zbl 1505.35107 Georgian Math. J. 29, No. 6, 883-895 (2022). MSC: 35J05 35J25 35B65 PDFBibTeX XMLCite \textit{D. Natroshvili} and \textit{T. Tsertsvadze}, Georgian Math. J. 29, No. 6, 883--895 (2022; Zbl 1505.35107) Full Text: DOI
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David Mixed boundary-transmission problems of the generalized thermo-electro-magneto-elasticity theory for piecewise homogeneous composed structures. (English) Zbl 1484.74016 Trans. A. Razmadze Math. Inst. 175, No. 2, 163-198 (2021). MSC: 74F05 74F15 74B05 35Q74 PDFBibTeX XMLCite \textit{T. Buchukuri} et al., Trans. A. Razmadze Math. Inst. 175, No. 2, 163--198 (2021; Zbl 1484.74016) Full Text: Link
Chkadua, Otar; Mikhailov, Sergey; Natroshvili, David Localized boundary-domain singular integral equations of the Robin type problem for self-adjoint second-order strongly elliptic PDE systems. (English) Zbl 1473.35158 Georgian Math. J. 28, No. 5, 695-715 (2021). MSC: 35J25 35E99 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Georgian Math. J. 28, No. 5, 695--715 (2021; Zbl 1473.35158) Full Text: DOI Link
Gorgisheli, Sveta; Mrevlishvili, Maia; Natroshvili, David Boundary-transmission problems of the theory of acoustic waves for piecewise inhomogeneous anisotropic multi-component Lipschitz domains. (English) Zbl 1480.35142 Trans. A. Razmadze Math. Inst. 174, No. 3, 303-324 (2020). MSC: 35J25 35J20 35R05 35P25 PDFBibTeX XMLCite \textit{S. Gorgisheli} et al., Trans. A. Razmadze Math. Inst. 174, No. 3, 303--324 (2020; Zbl 1480.35142) Full Text: Link
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. (English) Zbl 1405.35122 Math. Methods Appl. Sci. 41, No. 17, 8033-8058 (2018). MSC: 35P25 47G40 35J25 35J05 35R05 45F15 35S05 35J20 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Math. Methods Appl. Sci. 41, No. 17, 8033--8058 (2018; Zbl 1405.35122) Full Text: DOI arXiv
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David Method of fundamental solutions for mixed and crack type problems in the classical theory of elasticity. (English) Zbl 1378.35296 Trans. A. Razmadze Math. Inst. 171, No. 3, 264-292 (2017). MSC: 35Q74 74R10 35D30 74B05 74H45 30H25 PDFBibTeX XMLCite \textit{T. Buchukuri} et al., Trans. A. Razmadze Math. Inst. 171, No. 3, 264--292 (2017; Zbl 1378.35296) Full Text: DOI
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Localized boundary-domain singular integral equations of Dirichlet problem for self-adjoint second-order strongly elliptic PDE systems. (English) Zbl 1368.35093 Math. Methods Appl. Sci. 40, No. 6, 1817-1837 (2017). MSC: 35J25 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Math. Methods Appl. Sci. 40, No. 6, 1817--1837 (2017; Zbl 1368.35093) Full Text: DOI arXiv
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David Mixed boundary value problems of pseudo-oscillations of generalized thermo-electro-magneto-elasticity theory for solids with interior cracks. (English) Zbl 1356.35240 Trans. A. Razmadze Math. Inst. 170, No. 3, 308-351 (2016). MSC: 35Q74 35B65 35S15 45M05 47G30 74A15 74F05 74F15 74G40 74G70 35B40 74B10 78A30 35A01 35A02 PDFBibTeX XMLCite \textit{T. Buchukuri} et al., Trans. A. Razmadze Math. Inst. 170, No. 3, 308--351 (2016; Zbl 1356.35240) Full Text: DOI
Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G. Mixed impedance transmission problems for vibrating layered elastic bodies. (English) Zbl 1329.74142 Math. Methods Appl. Sci. 38, No. 15, 3264-3294 (2015). MSC: 74J20 35J57 31B10 74G25 74G30 74G40 74H45 74J05 PDFBibTeX XMLCite \textit{C. E. Athanasiadis} et al., Math. Methods Appl. Sci. 38, No. 15, 3264--3294 (2015; Zbl 1329.74142) Full Text: DOI
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients. (English) Zbl 1276.35067 Integral Equations Oper. Theory 76, No. 4, 509-547 (2013). MSC: 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Integral Equations Oper. Theory 76, No. 4, 509--547 (2013; Zbl 1276.35067) Full Text: DOI
Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G. A boundary integral equations approach for mixed impedance problems in elasticity. (English) Zbl 1253.74044 J. Integral Equations Appl. 23, No. 2, 183-222 (2011). MSC: 74J20 31B10 35J57 74G25 74G30 PDFBibTeX XMLCite \textit{C. E. Athanasiadis} et al., J. Integral Equations Appl. 23, No. 2, 183--222 (2011; Zbl 1253.74044) Full Text: DOI Euclid
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics. (English) Zbl 1194.65142 J. Integral Equations Appl. 22, No. 1, 19-37 (2010). MSC: 65N38 35J25 PDFBibTeX XMLCite \textit{O. Chkadua} et al., J. Integral Equations Appl. 22, No. 1, 19--37 (2010; Zbl 1194.65142) Full Text: DOI