On a Linear Inverse Potential Problem with Approximate Data on the Potential Field on an Approximately Given Surface


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Authors

  • Evgenii Laneev
  • Ekaterina Ponomarenko

Keywords:

ill-posed problem, inverse problem for the potential, Sretenskiy class of bodies, method of Tikhonov regularization

Abstract

An approximate solution of the linear inverse problem for the Newtonian potential for bodies of constant thickness is constructed. The solution is stable with respect to the error in the data on the potential field given on an inaccurately known surface. The problem is reduced to an integral equation of the first kind, the proof of the stability of the solution is based on the Tikhonov regularization method.

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Published

2023-01-01

How to Cite

Laneev, E., & Ponomarenko, E. (2023). On a Linear Inverse Potential Problem with Approximate Data on the Potential Field on an Approximately Given Surface. Eurasian Mathematical Journal, 14(1), 55–70. Retrieved from https://emj.enu.kz/index.php/main/article/view/280

Issue

Vol. 14 No. 1 (2023)

Section

Articles