Abstract
To find solutions of integral equations of first kind in the boundary value problems of the theory of elasticity we use a variational approach connected with the minimization of the discrepancy function on a compact set. We prove that the problem is well-posed in the sense of Hadamard, Bibliography: 4 titles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
V. K. Ivanov, “On ill-posed linear problems,”Dokl. Akad. Nauk SSSR,145, No. 2, 270–272 (1962).
V. K. Ivanov, “On a type of ill-posed linear equation in topological vector spaces,”Sib. Mat. Zh.,6, No. 4, 832–839 (1965).
V. D. Kupradze, T. G. Gegelia, M. O. Basheleishvili, et al.,Three-dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity, North-Holland Publ. Col, New York (1979).
A. N. Tikhonov and V. Ya. Arsenin,Methods of Solving Ill-posed Problems [in Russian], Nauka, Moscow (1974).
Additional information
Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 30, 1989, pp. 17–20.
Rights and permissions
About this article
Cite this article
Kuznetsov, S.V. Normal quasi-solutions of the integral equations of the theory of elasticity. J Math Sci 63, 313–315 (1993). https://doi.org/10.1007/BF01255734
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01255734