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Operators Arising as Second Variation of Optimal Control Problems and Their Spectral Asymptotics

Operators Arising as Second Variation of Optimal Control Problems and Their Spectral Asymptotics

Abstract We compute the asymptotic for the eigenvalues of a particular class of compact operators deeply linked with the second variation of optimal control problems. We characterize this family in terms of a set of finite dimensional data and we apply this results to a particular class of singular extremal …