Local uniqueness, stability and reconstruction from two boundary measurements

Publikation: Bog/antologi/afhandling/rapportRapportForskning

Abstrakt

We consider the inverse potential problem of determining an unknown potential in a Schrödinger equation in a bounded domain from measurements on the boundary. We prove that if the potential is known a priori to be small and spherical, then it can be uniquely reconstructed in a stable way from only two boundary measurements.
OriginalsprogEngelsk
UdgivelsesstedDepartment of Mathematical Sciences
ForlagAalborg Universitetsforlag
Antal sider12
StatusUdgivet - 2002
NavnResearch Report Series
NummerR-02-2002
ISSN1399-2503

Citationsformater