This article is cited 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.

UDC: 517.632.8