Multidomain Optimal Control of Variational Subpotential Mixed Evolution Inclusions

Abstract Multidomain variational optimal control of evolution mixed subpotential inclusions, are formulated and analyzed, on the basis a perturbation conjugate duality convex analysis theory developed by author. For Lagrangian optimality conditions, fixed point existence results demonstrated with an strongly monotone qualifying condition. Governing multidomain state systems correspond to primal macro-hybrid problems, whose solvability is similarly achieved. Innovative optimization primal, dual, mixed, as well coupled pair state-control problems established. Applications underground transport flow processes, illustrate theory.