Lipschitz stability for a piecewise linear Schrödinger potential from local Cauchy data
نویسندگان
چکیده
We consider the inverse boundary value problem of determining the potential q in the equation ∆u + qu = 0 in Ω ⊂ Rn, from local Cauchy data. A result of global Lipschitz stability is obtained in dimension n ≥ 3 for potentials that are piecewise linear on a given partition of Ω. No sign, nor spectrum condition on q is assumed, hence our treatment encompasses the reduced wave equation ∆u+ kcu = 0 at fixed frequency k.
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تاریخ انتشار 2017