The Calderón problem and normal forms
Year: 2017
Type: preprint
Abstract: We outline an approach to the inverse problem of Calderón that highlights the role of microlocal normal forms and propagation of singularities and extends a number of earlier results also in the anisotropic case. The main result states that from the boundary measurements it is possible to recover integrals of the unknown coefficient over certain two-dimensional manifolds called good bicharacteristic leaves. This reduces the Calderón problem into solving a linear integral geometry problem (inversion of a bicharacteristic leaf transform).
Source: arXiv (Cornell University)
Author: Salo, Mikko
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2586085846