"On the reduction of the nonlinear inverse problem for a plane hyperbolic equation to a linear integral equation"
Kokurin M.Y.

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

Kokurin M.Y.   e-mail: kokurin@marsu.ru