DOI

The inverse problem of determining a source in the dynamical Schrödinger equation iu t - u xx + q(x) = w(t)a(x), 0 < x < 1, with zero Dirichlet boundary conditions and zero initial condition, is considered. From the measurement of u x(0, t), 0 < t < T, the unknown source a (x) is recovered, provided that q(x) and w(t) are given. Also, it is described how one can recover a (x) and q (x) simultaneously from measurements at both boundary points. Bibliography: 16 titles.

Язык оригиналаанглийский
Страницы (с-по)513-516
Число страниц4
ЖурналJournal of Mathematical Sciences (United States)
Том185
Номер выпуска4
DOI
СостояниеОпубликовано - 1 сен 2012

    Предметные области Scopus

  • Математика (все)
  • Прикладная математика
  • Теория вероятности и статистика

ID: 38721390