6533b7dafe1ef96bd126e209

RESEARCH PRODUCT

Stability estimates for the magnetic Schrödinger operator with partial measurements

Leyter Potenciano-machadoAlberto RuizLeo Tzou

subject

osittaisdifferentiaaliyhtälötApplied MathematicsmagneettikentätAnalysisinversio-ongelmat

description

In this article, we study stability estimates when recovering magnetic fields and electric potentials in a simply connected open subset in Rn with n≥3, from measurements on open subsets of its boundary. This inverse problem is associated with a magnetic Schrödinger operator. Our estimates are quantitative versions of the uniqueness results obtained by D. Dos Santos Ferreira, C.E. Kenig, J. Sjöstrand and G. Uhlmann in [13]. The moduli of continuity are of logarithmic type. peerReviewed

http://urn.fi/URN:NBN:fi:jyu-202206103256