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Эта публикация цитируется в 8 научных статьях (всего в 8 статьях)
Dynamical inverse problem for the discrete Schrödinger operator
A. S. Mikhailova, V. S. Mikhailovb a St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, 7, Fontanka, 191023, St. Petersburg, Russia
b St. Petersburg State University, 7/9 Universitetskaya nab., 199034, St. Petersburg, Russia
Аннотация:
We consider the inverse problem for the dynamical system with discrete Schrödinger operator and discrete time. As inverse data, we take a response operator, the natural analog of the dynamical Dirichlet-to-Neumann map. We derive two types of equations of inverse problem and answer a question on the characterization of the inverse data, i.e. we describe the set of operators, which are response operators of the dynamical system governed by the discrete Schrödinger operator.
Ключевые слова:
inverse problem, discrete Schrödinger operator, Boundary Control method, characterization of inverse data.
Поступила в редакцию: 19.07.2016 Исправленный вариант: 21.08.2016
Образец цитирования:
A. S. Mikhailov, V. S. Mikhailov, “Dynamical inverse problem for the discrete Schrödinger operator”, Наносистемы: физика, химия, математика, 7:5 (2016), 842–853
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano289 https://www.mathnet.ru/rus/nano/v7/i5/p842
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Страница аннотации: | 36 | PDF полного текста: | 14 |
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