We show that the knowledge of Dirichlet to Neumann map for rough A and q in (-Δ)ᵐ +A· D +q for m ≥ 2 for a bounded domain in Rⁿ, n ≥ 3 determines A and q uniquely. This unique identifiability is proved via construction of complex geometrical optics solutions with sufficient decay of remainder terms, by using property of products of functions in Sobolev spaces.
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Assylbekov et al. (2019) studied this question.
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