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math.OC2024
An optimal uniqueness result for Riccati equations arising in abstract parabolic control problems
Paolo Acquistapace, Francesco Bartaloni
An abstract nonautonomous parabolic linear-quadratic regulator problem with very general final cost operator P_T is considered, subject to the same assumptions under which a classi…
math.OC2016★ 1 cited
Existence of the optimum for Shallow Lake type models
Francesco Bartaloni
We consider the optimal control problem associated with a general version of the well known shallow lake model, and we prove the existence of an optimum in the class $L_{loc}^{1}\l…
math.OC2014
A utility maximization problem with state constraint and non-concave technology
Francesco Bartaloni
We consider an optimal control problem arising in the context of economic theory of growth, on the lines of the works by Skiba (1978) and Askenazy - Le Van (1999). The economic fra…