A global uniqueness theorem for an inverse boundary value problem
暂无分享,去创建一个
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.
[1] Robert V. Kohn,et al. IDENTIFICATION OF AN UNKNOWN CONDUCTIVITY BY MEANS OF MEASUREMENTS AT THE BOUNDARY. , 1983 .
[2] Robert V. Kohn,et al. Determining conductivity by boundary measurements , 1984 .
[3] R. Kohn,et al. Determining conductivity by boundary measurements II. Interior results , 1985 .
[4] John Sylvester,et al. A uniqueness theorem for an inverse boundary value problem in electrical prospection , 1986 .