Agranovich M.S.: Elliptic singular integro-differential operators. Uspekhi Mat. Nauk 20(5), 3–120 (1965)
Agranovich M.S., Voitovich N.N., Katsenelenbaum B.Z., Sivov A.N.: Generalized Method of Eigenoscillations in Diffraction Theory. Wiley, Berlin (1999)
Ayele, T.G., Mikhailov, S.E.: Two-operator boundary-domain integral equations for a variable-coefficient BVP. In: Constanda, C., Pérez, M. (eds.) Integral Methods in Science and Engineering. Analytic Methods, vol. 1, pp. 29–39. Birkhäuser, Boston (2010). ISBN 978-08176-4898-5
Ayele T.G., Mikhailov S.E.: Analysis of two-operator boundary-domain integral equations for a variable-coefficient mixed BVP. Eurasian Math. J. 2, 20–41 (2011)
Boutet de Monvel L.: Boundary problems for pseudo-differential operators. Acta Math. 126, 11–51 (1971)
Chazarain J., Piriou A.: Introduction to the Theory of Linear Partial Differential Equations. North-Holland, Amsterdam (1982)
Chkadua O., Mikhailov S., Natroshvili D.: Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility. J. Integral Equ. Appl. 21, 499–542 (2009)
Chkadua O., Mikhailov S., Natroshvili D.: Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics. J. Integral Equ. Appl. 22, 19–37 (2010)
Chkadua O., Mikhailov S., Natroshvili D.: Analysis of some localized boundary-domain integral equations. J. Integral Equ. Appl. 21, 407–447 (2009)
Chkadua O., Mikhailov S.E., Natroshvili D.: Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks. Numer. Methods Partial Differ. Equ. 27, 121–140 (2011)
Chkadua, O., Mikhailov, S.E., Natroshvili, D.: Analysis of some localised boundary-domain integral equations for transmission problems with variable coefficients. In: Constanda, C., Harris, P. (eds.) Integral Methods in Science and Engineering, pp. 91–108. Birkhäuser, Boston (2011). ISBN 978-0-8176-8237-8
Chkadua O., Mikhailov S.E., Natroshvili D.: Localized direct segregated boundary-domain integral equations for variable-coefficient transmission problems with interface crack. Mem. Differ. Equ. Math. Phys. 52, 17–64 (2011)
Chkadua, O., Mikhailov, S.E., Natroshvili, D.: Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. Anal. Appl. 11 (2013). doi:10.1142/S0219530513500061
Costabel M.: Boundary integral operators on Lipschitz domains: elementary results. SIAM J. Math. Anal. 19, 613–626 (1988)
Eskin, G.: Boundary Value Problems for Elliptic Pseudodifferential Equations. Translation of Mathematical Monographs, vol. 52. American Mathematical Society, Providence (1981) [Russian original: Nauka Publishing, Moscow (1973)]
Grisvard P.: Elliptic Problems in Nonsmooth Domains. Pitman, Boston (1985)
Grubb G.: Distributions and Operators. Springer, New York (2009)
Hsiao G.C., Wendland W.L.: Boundary Integral Equations. Springer, Berlin (2008)
Lions J.-L., Magenes E.: Non-Homogeneous Boundary Value Problems and Applications, vol. I. Springer, New York (1972)
McLean W.: Strongly Elliptic Systems and Boundary Integral Equations. Cambridge University Press, Cambridge (2000)
Mikhailov S.E.: Localized boundary-domain integral formulation for problems with variable coefficients. Int. J. Eng. Anal. Bound. Elem. 26, 681–690 (2002)
Mikhailov S.E.: Localized direct boundary-domain integro-differential formulations for scalar nonlinear boundary-value problems with variable coefficients. J. Eng. Math. 51, 283–302 (2005)
Mikhailov S.E.: Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient. Math. Methods Appl. Sci. 29, 715–739 (2006)
Mikhailov S.E.: Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains. J. Math. Anal. Appl. 378, 324–342 (2011)
Mikhailov S.E., Nakhova I.S.: Mesh-based numerical implementation of the localized boundary-domain integral equation method to a variable-coefficient Neumann problem. J. Eng. Math. 51, 251–259 (2005)
Mikhlin S.G., Prössdorf S.: Singular Integral Operators. Springer, Berlin (1986)
Miranda C.: Partial Differential Equations of Elliptic Type. Springer, New York (1970)
Rempel S., Schulze B.-W.: Index Theory of Elliptic Boundary Problems. Akademie-Verlag, Berlin (1982)
Shargorodsky E.: An \({\mathbb{L}_p}\) -analogue of the Vishik–Eskin theory. Mem. Differ. Equ. Math. Phys. 2, 41–146 (1994)
Sladek J., Sladek V., Atluri S.N.: Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties. Comput. Mech. 24(6), 456–462 (2000)
Taigbenu A.E.: The Green Element Method. Kluwer, Dordrecht (1999)
Zhu T., Zhang J.-D., Atluri S.N.: A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach. Comput. Mech. 21, 223–235 (1998)
Zhu T., Zhang J.-D., Atluri S.N.: A meshless numerical method based on the local boundary integral equation (LBIE) to solve linear and non-linear boundary value problems. Eng. Anal. Bound. Elem. 23, 375–389 (1999)