Double logarithmic stability in the identification of a scalar potential by a partial elliptic Dirichlet-to-Neumann map
Автор: Choulli M., Kian Y., Soccorsi E.
Рубрика: Математическое моделирование
Статья в выпуске: 3 т.8, 2015 года.
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We examine the stability issue in the inverse problem of determining a scalar potential appearing in the stationary Schrödinger equation in a bounded domain, from a partial elliptic Dirichlet-to-Neumann map. Namely, the Dirichlet data is imposed on the shadowed face of the boundary of the domain and the Neumann data is measured on its illuminated face. We establish a log log stability estimate for the L2-norm (resp. the H-1-norm) of Ht, for t>0, and bounded (resp. L2) potentials.
Inverse problem, stability, schrödinger equation
Короткий адрес: https://sciup.org/147159332
IDR: 147159332 | DOI: 10.14529/mmp150305
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