Mikhailov, S. E.; Portillo, C. F. Analysis of boundary-domain integral equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain. (English) Zbl 1447.35141 J. Integral Equations Appl. 32, No. 1, 59-75 (2020). Reviewer: Paolo Musolino (Padova) MSC: 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{C. F. Portillo}, J. Integral Equations Appl. 32, No. 1, 59--75 (2020; Zbl 1447.35141) Full Text: DOI arXiv Euclid
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
Mikhailov, Sergey E. Analysis of Segregated Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet and Neumann Problems with General Data. arXiv:1509.03501 Preprint, arXiv:1509.03501 [math.AP] (2015). MSC: 35J25 31B10 45K05 45A05 BibTeX Cite \textit{S. E. Mikhailov}, ``Analysis of Segregated Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet and Neumann Problems with General Data'', Preprint, arXiv:1509.03501 [math.AP] (2015) Full Text: arXiv OA License
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Localized boundary-domain integral equations approach for Robin type problem for second order strongly elliptic systems with variable coefficients. (English) Zbl 1290.35076 Proc. A. Razmadze Math. Inst. 162, 45-58 (2013). MSC: 35J47 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Proc. A. Razmadze Math. Inst. 162, 45--58 (2013; Zbl 1290.35076)
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. (English) Zbl 1273.45007 Anal. Appl., Singap. 11, No. 4, Article ID 1350006, 33 p. (2013). MSC: 45P05 45A05 35J25 31B10 47G10 47G40 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Anal. Appl., Singap. 11, No. 4, Article ID 1350006, 33 p. (2013; Zbl 1273.45007) 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
Chkadua, O.; Mikhailov, S.; Natroshvili, D. Localized boundary-domain integral equations approach for Dirichlet problem for second order strongly elliptic systems with variable coefficients. (English) Zbl 1279.35032 Proc. A. Razmadze Math. Inst. 160, 11-23 (2012). MSC: 35J47 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Proc. A. Razmadze Math. Inst. 160, 11--23 (2012; Zbl 1279.35032) Full Text: Link
Ayele, T. G.; Mikhailov, S. E. Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP. (English) Zbl 1272.47060 Eurasian Math. J. 2, No. 3, 20-41 (2011). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 47G30 35J25 31B10 45P05 45A05 47G10 47G40 PDFBibTeX XMLCite \textit{T. G. Ayele} and \textit{S. E. Mikhailov}, Eurasian Math. J. 2, No. 3, 20--41 (2011; Zbl 1272.47060) Full Text: MNR
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David Localized boundary-domain integral equation formulation for mixed type problems. (English) Zbl 1198.35073 Georgian Math. J. 17, No. 3, 469-494 (2010). MSC: 35J25 31B10 45K05 45A05 35S05 35C15 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Georgian Math. J. 17, No. 3, 469--494 (2010; Zbl 1198.35073) Full Text: DOI
Mikhailov, S. E. Localized direct boundary-domain integro-differential formulations for scalar nonlinear boundary-value problems with variable coefficients. (English) Zbl 1073.65136 J. Eng. Math. 51, No. 3, 283-302 (2005). MSC: 65N38 35J65 65H10 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, J. Eng. Math. 51, No. 3, 283--302 (2005; Zbl 1073.65136) Full Text: DOI