arXiv Analytics

Sign in

arXiv:2310.17456 [math.AP]AbstractReferencesReviewsResources

Stability inequality for the problem of determining an unbounded potential from boundary measurements

Mourad Choulli

Published 2023-10-26Version 1

We establish in dimension $3$ a stability inequality for the problem of determining the potential in the Schr\"odinger equation from boundary measurements in the case where the potential belongs to $L^s$ with $s\in (2,3)$.

Categories: math.AP
Subjects: 35R30
Related articles: Most relevant | Search more
arXiv:2102.07608 [math.AP] (Published 2021-02-15)
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements
arXiv:1212.0727 [math.AP] (Published 2012-12-04, updated 2013-04-07)
Reconstruction from boundary measurements for less regular conductivities
arXiv:1909.11133 [math.AP] (Published 2019-09-24)
Inverse problems for Schrödinger equations with unbounded potentials

Links

Toolbox