Parameter Identification in a Parabolic–Elliptic Degenerate Problem
In applied sciences an important achievement is the determination of the parameters of the equations modelling a physical process from the knowledge of certain physical quantities which can be observed or measured. These are formulated as identification and inverse problems that can be treated as optimal control problems. This chapter is devoted to such an example.
KeywordsControl Problem Optimal Control Problem Dual System Optimal Pair Abstract Cauchy Problem
- 83.G. Marinoschi, A free boundary problem describing the saturated unsaturated flow in a porous medium, II. Existence of the free boundary in the 3-D case. Abstr. Appl. Anal. 8, 813–854 (2005)Google Scholar
- 84.G. Marinoschi, Functional approach to nonlinear models of water flow in soils. Mathematical Modelling: Theory and Applications, vol. 21 (Springer, Dordrecht, 2006)Google Scholar