ABSTRACT
In this chapter, we shall introduce various concepts that will be further developed in the core of this lecture note. These concepts will be illustrated on a model problem arising in free boundary systems. More precisely, we consider the identification of a moving boundary that represents the isothermal interface between a solid phase and a liquid phase, from measurements on a fixed part of the solid boundary. This problem is referred in the literature as the inverse Stefan problem [61, 144]. We make use of the transverse derivative concepts introduced in [154, 155].
