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

arXiv2210.06595MaRDI QIDQ6413775

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Publication date: 12 October 2022

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 $W^{1,n}cap{L}^{i}nfty$, 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 $W^{1,n}cap{L}^{i}nfty$.

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