Optimal solution for the viscous nonlinear dispersive wave equation

Chunyu Shen and Anna Gao In this paper, we study the optimal control problem for the viscous nonlinear dispersive wave equation. We first prove the existence and uniqueness of a weak solution to this equation in a short interval by using the Galerkin method. Furthermore, the existence of an optimal solution to the viscous n ... [J. Math. Phys. 51, 053520 (2010)] published Tue May 18, 2010.