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Numerical methods and programming, 2009, Volume 10, Issue 3, Pages 300–305 (Mi vmp381)  
This article is cited in 1 scientific paper (total in 1 paper)

Вычислительные методы и приложения

On the reduction of the nonlinear inverse problem for a plane hyperbolic equation to a linear integral equation

M. Yu. Kokurin

Mari State University, Ioshkar-Ola
Full-text PDF (169 kB) Citations (1)
Abstract: A 2D nonlinear inverse problem for the wave equation is studied. Given a family of solutions to the equation, it is required to recover the coefficient at the second time derivative. This inverse problem can be reduced to a uniquely solvable linear integral equation of the first kind. This work was partially supported by the Russian Foundation for Basic Research (project N 09-01-00273a).
Keywords: inverse problem; ill-posed problem; wave equation; linear integral equation; uniqueness.
Document Type: Article
UDC: 517.632.8
Language: Russian
Citation: M. Yu. Kokurin, “On the reduction of the nonlinear inverse problem for a plane hyperbolic equation to a linear integral equation”, Num. Meth. Prog., 10:3 (2009), 300–305
Citation in format AMSBIB
\Bibitem{Kok09}
\by M.~Yu.~Kokurin
\paper On the reduction of the nonlinear inverse problem for
a plane hyperbolic equation to a linear integral equation
\jour Num. Meth. Prog.
\yr 2009
\vol 10
\issue 3
\pages 300--305
\mathnet{http://mi.mathnet.ru/vmp381}
Linking options:
  • https://www.mathnet.ru/eng/vmp381
  • https://www.mathnet.ru/eng/vmp/v10/i3/p300
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Numerical methods and programming
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