We consider the value function V of optimal control problems with exit time. Under suitable assumptions, through the study of the conjugate points, we prove that the closure of the singular set of V is rectifiable. Moreover, a sharper Hausdorff estimate is given on the set of the conjugate nonsingular points.
Rectifiability results for singular and conjugate points of optimal exit time problems
PIGNOTTI, CRISTINA
2002-01-01
Abstract
We consider the value function V of optimal control problems with exit time. Under suitable assumptions, through the study of the conjugate points, we prove that the closure of the singular set of V is rectifiable. Moreover, a sharper Hausdorff estimate is given on the set of the conjugate nonsingular points.File in questo prodotto:
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