DOI

The inverse dynamic problem for the wave equation with a potential on a real line is considered. The forward initial-boundary value problem is set up with the help of boundary triplets. As an inverse data, an analog of the response operator (dynamic Dirichlet-to-Neumann map) is used. Equations of the inverse problem are derived; also, a relationship between the dynamic inverse problem and the spectral inverse problem from a matrix-valued measure is pointed out.

Язык оригиналаанглийский
Страницы (с-по)701-714
Число страниц14
ЖурналJournal of Mathematical Sciences (United States)
Том238
Номер выпуска5
DOI
СостояниеОпубликовано - 7 мая 2019

    Предметные области Scopus

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

ID: 41836158