Partial data inverse problems for magnetic Schr\"odinger operators with potentials of low regularity

Salem Selim

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arXiv · 2210.06595

Partial data inverse problems for magnetic Schr\"odinger operators with potentials of low regularity

Salem Selim

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Abstract

We establish a global uniqueness result for an inverse boundary problem with partial data for the magnetic Schr\"odinger operator with a magnetic potential of class $W^{1,n}\cap L^\infty$, and an electric potential of class $L^n$. Our result is an extension, in terms of the regularity of the potentials, of the results [16] and [25]. As a consequence, we also show global uniqueness for a partial data inverse boundary problem for the advection-diffusion operator with the advection term of class $W^{1,n}\cap L^\infty$.

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Salem Selim. 2022-10-12. Partial data inverse problems for magnetic Schr\"odinger operators with potentials of low regularity. https://arxiv.org/abs/2210.06595

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