Optimality of Increasing Stability for an Inverse Boundary Value Problem
نویسندگان
چکیده
In this work we study the optimality of increasing stability inverse boundary value problem (IBVP) for Schr\"{o}dinger equation. The rigorous justification IBVP equation were established by Isakov \cite{Isa11} and Isakov, Nagayasu, Uhlmann, Wang paper \cite{INUW14}. \cite{Isa11}, \cite{INUW14}, authors showed that increases as frequency in sense estimate changes from a logarithmic type to H\"{o}lder type. work, prove instability an exponential H\"older when increases. This result verifies results \cite{INUW14} are optimal.
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ژورنال
عنوان ژورنال: Siam Journal on Mathematical Analysis
سال: 2021
ISSN: ['0036-1410', '1095-7154']
DOI: https://doi.org/10.1137/21m1402169