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arXiv · 1504.02207

Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials

E. Blåsten·O. Yu. Imanuvilov·M. Yamamoto
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Abstract

We consider inverse boundary value problems for the Schrodinger equations in two dimensions. Within less regular classes of potentials, we establish a conditional stability estimate of logarithmic order. Moreover we prove the uniqueness within $L^p$-class of potentials with $p > 2$.

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E. Blåsten, O. Yu. Imanuvilov, M. Yamamoto. 2015-04-09. Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials. https://doi.org/10.3934/ipi.2015.9.709

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