... ,0)=g(x), x ∈ (0, 1),( 14) 71Identifiability of Piecewise Constant Conductivity 24 Will-be-set-by-IN-TECHDuchateau, P. (1995). Monotonicity and invertibility of coefficient-to-data mappings forparabolic ... σ> 0. DefinePC(σ)={a ∈PC : xi− xi−1≥ σ, i = 1, 2, ···, N}, 64 Heat Conduction – Basic Research 14 Will-be-set-by-IN-TECHTheorem 6.1. Let p ∈ (0, 1) be an observation point, g(x) > ... for81Identifiability of Piecewise Constant Conductivity10 Will-be-set-by-IN-TECHwhere g ∈ L2(0, 1) and i = 1, 2, ···, N −1. The associated Sturm-Liouville problem isaiψ(x)=−λψ(x), x ∈ (xi−1,...