The research on a class of asymptotic exit-time problems with a vanishing Lagrangian, is extended here to the case of unbounded controls and data, including both coer- cive and non-coercive problems. We give sufficient conditions to have a well-posed notion of generalized control problem and obtain regularity, characterization and approximation results for the value function of the problem.
On asymptotic exit-time control problems lacking coercivity
MOTTA, MONICA;SARTORI, CATERINA
2014
Abstract
The research on a class of asymptotic exit-time problems with a vanishing Lagrangian, is extended here to the case of unbounded controls and data, including both coer- cive and non-coercive problems. We give sufficient conditions to have a well-posed notion of generalized control problem and obtain regularity, characterization and approximation results for the value function of the problem.
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