7. Nonlinear Cauchy Problems for Elliptic Equations

2018 ◽  
pp. 357-406
Keyword(s):  
Elliptic Equations ◽  
Cauchy Problems

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

2015 ◽  
Vol 799-800 ◽  
pp. 693-697
Author(s):  
Balgaisha Mukanova ◽  
Saule Maussumbekova ◽  
Magira Kulbay
Keyword(s):  
Inverse Problem ◽  
Elliptic Equations ◽  
Outer Boundary ◽  
Cauchy Data ◽  
Cylindrical Layer ◽  
Cauchy Problems ◽  
Order Ordinary Differential Equation ◽  
Stationary Diffusion ◽  
Residual Functional ◽  
Analytical Formulas

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.

Sign in / Sign up

Export Citation Format

Share Document