Solving of the Regularized Inverse Problem for Elliptic Equations in Cylindrical Coordinates: Analytical Formulas

Balgaisha Mukanova, Saule Maussumbekova, Magira Kulbay

2015

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DOI 10.4028/www.scientific.net/amm.799-800.693
Data confidence 70 medium
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Abstract

The continuation inverse problem for a solution to an elliptic equation in cylindrical layer for a model of stationary diffusion process is considered. Cauchy data are given on the outer boundary of the cylindrical layer; need to recover a field at the inner boundary of the cylinder. The problem is reduced to three different Cauchy problems for a second order ordinary differential equation. On the base of necessary minimization conditions of the residual functional analytical formulas for a regularized quasisolution to the inverse problem are derived.