Inverse boundary value problem for the Schr?dinger equation in a cylindrical domain by partial boundary data

摘要

Let ω ?2 be a bounded domain with ? ω ∈ C and L be a positive number. For a three dimensional cylindrical domain Q= ω × (0,L), weobtain some uniqueness result in determining a complex-valued potential forthe Schr?odinger equation from partial Cauchy data when Dirichlet data vanish on a sub-boundary ? ω|～λ × (0,L) and the corresponding Neumann data are observed on λ × [0, L], where～ λ is an arbitrary fixed open set of ? ω.