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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/20498
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