Geometric and analytic views in existence theorems for optimal control. III. Weak solutions

Existence theorems are proved for weak optimal solutions of problems of optimization with distributed and boundary control. Many examples are given. Application is made of recent remarks on closure properties of linear and nonlinear operators. Recent geometric, topological, and analytical views are brought to bear on the underlying seminormality conditions.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45209/1/10957_2004_Article_BF00934060.pd