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I. Interaction of shocks and rarefaction waves
Extended wellposedness of optimal control problems
A concept of wellposedness is applied to control problems
monitored by ordinary differential equations. This concept does not impose
uniqueness of the optimal control, and requires strong convergence of every
asymptotically minimizing sequence corresponding to small perturbations of the
initial state. Sufficient conditions for such a form of wellposedness are
obtained
via Tikhonov wellposedness of the pointwise maximization of the Hamiltonian
function.