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Numerical methods and programming, 2009, Volume 10, Issue 3, Pages 300–305
(Mi vmp381)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/vmp381 https://www.mathnet.ru/eng/vmp/v10/i3/p300
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Statistics & downloads: |
Abstract page: | 102 | Full-text PDF : | 34 |
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