OPTIMAL CONTROL OF DISTRIBUTED PARAMETER SYSTEM GIVEN BY CAHN-HILLIARD EQUATION
Quan‐Fang Wang, Shin-ichi Nakagiri · Nonlinear functional analysis and applications · 2014
In this work, optimal control problem is addressed for distributed systems describedby Cahn-Hilliard equation by the means of distributed control, initial control andNeumann boundary control. The existence and uniqueness is provided for weak solutionusing variational method. Further, existence of optimal control is proved completely, andoptimality conditions is established for integral cost and quadratic cost, respectively. Lastly,Bang-Bang principle is deduced.