Determining Electrical and Heat Transfer Parameters Using Coupled Boundary Measurements

@article{Krupchyk2011DeterminingEA,
  title={Determining Electrical and Heat Transfer Parameters Using Coupled Boundary Measurements},
  author={Katsiaryna Krupchyk and Matti Lassas and Samuli Siltanen},
  journal={SIAM J. Math. Analysis},
  year={2011},
  volume={43},
  pages={2096-2115}
}
Let Ω ⊂ R, n ≥ 3, be a smooth bounded domain and consider a coupled system in Ω consisting of a conductivity equation ∇ · γ(x)∇u(t, x) = 0 and an anisotropic heat equation κ(x)∂tψ(t, x) = ∇ · (A(x)∇ψ(t, x)) + (γ∇u(t, x)) · ∇u(t, x), t ≥ 0. It is shown that the coefficients γ, κ and A = (ajk) are uniquely determined from the knowledge of the boundary map u… CONTINUE READING