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: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2009/v10r133.html
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"On the reduction of the nonlinear inverse problem for
a plane hyperbolic equation to a linear integral equation" Kokurin M.Y. |
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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
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| Kokurin M.Y. e-mail: kokurin@marsu.ru |