6533b827fe1ef96bd1286e59

RESEARCH PRODUCT

On One Identification Problem in Linear Elasticity

Pekka NeittaanmäkiJaroslav Haslinger

subject

Parameter identification problemPhysicsPure mathematicsPartial differential equationLinear elasticityLaplace operatorDomain (mathematical analysis)

description

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 \(\int{_{\varphi }}\frac{\partial u}{\partial n}ds\) is maximal has been studied, where u is the solution of mixed—boundary value problem for Laplacian operator.

https://doi.org/10.1007/978-3-0348-7301-7_6