## Alexander Lapin and Serguei Lapin

## Identification of nonlinear coefficient in a transport equation

## (Lobachevskii Journal of Mathematics, Vol.14, pp.69-84)

Considered a problem of identification a nonlinear coefficient in a first order PDE
via final observation. The problem is stated as an optimal control problem
and solved numerically.
Implicit finite difference scheme is used for the approximation of the state equation.
A space of control variables is approximated by a sequence of finite-dimensional spaces
within creaing dimensions. Finite dimensional problems are solved by a gradient method
and numerical results are presented.

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