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arXiv · 1703.02569

Determining rough first order perturbations of the polyharmonic operator

Yernat M. Assylbekov·Karthik Iyer
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Abstract

We show that the knowledge of Dirichlet to Neumann map for rough $A$ and $q$ in $(-Δ)^m +A\cdot D +q$ for $m \geq 2$ for a bounded domain in $\mathbb{R}^n$, $n \geq 3$ 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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Yernat M. Assylbekov, Karthik Iyer. 2019-08-31. Determining rough first order perturbations of the polyharmonic operator. https://arxiv.org/abs/1703.02569

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