Inverse Problem for the Schrödinger Operator in an Unbounded Strip
Abstract
We consider the operator H := i∂t + ∇ · (c∇) in an unbounded strip Ω in R 2 , where c(x, y) ∈ C 3 (Ω). We prove an adapted global Carleman estimate and an energy estimate for this operator. Using these estimates, we give a stability result for the diffusion coefficient c(x, y).
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