Journal of Siberian Federal University. Mathematics & Physics / The Cauchy Problem for Equation of Elasticity Theory

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (2)
Authors
Makhmudov, Olimdjan I.; Niyozov, Ikbol E.
Contact information
Makhmudov, Olimdjan I.: Samarkand State University Samarkand, Uzbekistan; OCRID: 0000-0002-7187-4712; Niyozov, Ikbol E.: Samarkand State University Samarkand, Uzbekistan;
Keywords
Cauchy problem; Lame equation; elliptic system; ill-posed problem; Carleman matrix; regularization
Abstract

A problem on the analytic continuation of the solution of equation of elasticity theory in a spatial domain is considered. Continuation is based on the values of the solution and stresses on a part of the boundary of this domain. Hence the problem presents the Cauchy problem

Pages
162–175
EDN
CUVVNL
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/149922