"On the reduction of the nonlinear inverse problem for
a plane hyperbolic equation to a linear integral equation"
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 090100273a).
Keywords: inverse problem, ill-posed problem, wave equation, linear integral equation, uniqueness
|Kokurin M.Y. e-mail: firstname.lastname@example.org|