Identifiability at the boundary for first-order terms
نویسندگان
چکیده
Let Ω be a domain in R whose boundary is C if n ≥ 3 or C if n = 2. We consider a magnetic Schrödinger operator LW,q in Ω and show how to recover the boundary values of the tangential component of the vector potential W from the Dirichlet to Neumann map for LW,q. We also consider a steady state heat equation with convection term ∆+2W ·∇ and recover the boundary values of the convection term W from the Dirichlet to Neumann map. Our method is constructive and gives a stability result at the boundary.
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