抄録
As a typical example of a nonlinear problem for a distributed parameter system, a free boundary problem is considered. The free boundary problem appears in many fields of industry. For example, the solidification problem in a steel industry is a very important problem. In the solidification problem, the interface between the liquid steel and solid one becomes the free boundary. In this paper, focussing our attention to the free boundary problem in the electron beam processing, the state and the free boundary estimation problem is considered under the noisy observation.
