Published March 25, 2026 | Version v1
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REGULARIZATION OF THE SOLUTION OF THE CAUCHY PROBLEM FOR A SYSTEM OF EQUATIONS OF ELASTICITY THEORY IN AN INFINITE DOMAIN

Authors/Creators

  • 1. Samarkand Institute of Economics and Service

Description

The paper discusses continuation of a solution of the elasticity system in a domain from its values and the values of its stresses on part of the boundary, i.e. the Cauchy problem for the Lame system. 

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References

  • Yarmukhamedov Sh. On the Cauchy problem for the Laplace equation. DAN SSSR, 1977, vol. 235, no. 2, pp. 281-283.
  • Makhmudov O. I., Niyozov I. E. The Cauchy problem for the system of elasticity equations in an infinite domain // Uzbek Mathematical Journal. 2006. No. 4. pp. 44-53.
  • Makhmudov O., Niyozov I. The Cauchy problem for the Lame system in infinite domains in // Journal of Inverse and Ill-Posed Problems. V14. N9. 2006. pp. 905-924(20).
  • Kupradze V. D., Burchuladze T. V., Gegelia T. G., et al. Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity. Classical and micropolar theory. Statics, harmonic oscillations, dynamics. Fundamentals and methods of solution. Moscow: Nauka, 1976.