On Determination of the Evolution of the Source Term of a Modified KdV Equation via Local Final Overdetermination Condition

We study a fixed point system to identify the evolution of the source term depending on t of a modified KdV equation. In order to identify the evolution of the source term, we define an inverse problem subject to a local overdetermination condition. We converted this inverse problem to an operator equation. Keywords - Inverse problem, KdV equation, source term identification, overdetermination condition, operator equation. AMS(MOS) subject classifications - 35R30