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Inverse boundary value problems for the perturbed polyharmonic operator

Published Web Location

https://doi.org/10.1090/s0002-9947-2013-05713-3
Abstract

We show that a first order perturbation A(x) · D + q(x) of the polyharmonic operator (-Δ)m, m ≥ 2, can be determined uniquely from the set of the Cauchy data for the perturbed polyharmonic operator on a bounded domain in ℝn, n ≥ 3. Notice that the corresponding result does not hold in general when m = 1. © 2013 American Mathematical Society.

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