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Deterministic Minimax Impulse Control in Finite Horizon: the Viscosity Solution Approach

We study here the impulse control minimax problem. We allow the cost functionals and dynamics to be unbounded and hence the value functions can possibly be unbounded. We prove that the value function of the problem is continuous. Moreover, the value function is characterized as the unique viscosity solution of an Isaacs quasi-variational inequality. This problem is in relation with an application in mathematical finance.

preprint2010arXivOpen access
Brahim El Asri
math.OC
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Brahim El Asri

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