Stability estimates for the magnetic Schrödinger operator with partial measurements
Potenciano-Machado, L., Ruiz, A., & Tzou, L. (2022). Stability estimates for the magnetic Schrödinger operator with partial measurements. Journal of Differential Equations, 321, 475-521. https://doi.org/10.1016/j.jde.2022.02.051
Julkaistu sarjassa
Journal of Differential EquationsPäivämäärä
2022Oppiaine
MatematiikkaInversio-ongelmien huippuyksikköMathematicsCentre of Excellence in Inverse ProblemsTekijänoikeudet
© 2022 the Authors
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.
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Elsevier BVISSN Hae Julkaisufoorumista
0022-0396Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/146488500
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