A Global Uniqueness Theorem for an Inverse Boundary Value Problem 论文

1987Annals of Mathematics引用 1512
Numerical methods in inverse problemsAdvanced Mathematical Modeling in EngineeringNumerical methods in engineering

摘要

In this paper, we show that the single smooth coefficient of the elliptic operator LY = v yv can be determined from knowledge of its Dirichlet integrals for arbitrary boundary values on a fixed region 2 C R', n ? 3. From a physical point of view, we show that an isotropic conductivity can be determined by steady state measurements at the boundary.