The constant parameter identification problem in the Kirchhoff-type equation with viscosity is studied. The problem is formulated by a minimization of quadratic cost functionals by distributive measurements. The existence of optimal parameters and necessary optimality conditions for the parameters are proved.
"Parameter Identification Problem for the Kirchhoff-Type Equation with Viscosity." Abstr. Appl. Anal. 2012 1 - 15, 2012. https://doi.org/10.1155/2012/971796