Inverse boundary value problems for the perturbed polyharmonic operator

preprint2011arXivOpen access

Abstract

We show that a first order perturbation A(x)⋅D+q(x)A(x)\cdot D+q(x) of the polyharmonic operator (−Δ)m(-Δ)^m, m≥2m\ge 2, can be determined uniquely from the set of the Cauchy data for the perturbed polyharmonic operator on a bounded domain in RnR^n, n≥3n\ge 3. Notice that the corresponding result does not hold in general when m=1m=1.

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