On one identification problem in linear elasticity

Abstract

In practice we meet problems, when having the solution of partial differential equation, we want to discover parts in the domain of its definition where the solution has some specific properties. In [1] and [2] the problem of identification of a curve φ, lying inside of Ω such that the flux ∫φ∂u∂nds is maximal has been studied, where u is the solution of mixed—boundary value problem for Laplacian operator.