English

Minimax Impulse Control Problems in Finite Horizon

Optimization and Control 2013-05-07 v1

Abstract

We consider the problem of impulse control minimax in finite horizon, when cost functions (C(t,x,ξ)>0)(C(t,x,\xi)>0). We show existence of value function of the problem. 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.

Cite

@article{arxiv.1305.0914,
  title  = {Minimax Impulse Control Problems in Finite Horizon},
  author = {Brahim El Asri},
  journal= {arXiv preprint arXiv:1305.0914},
  year   = {2013}
}

Comments

22 pages. arXiv admin note: substantial text overlap with arXiv:1003.3409

R2 v1 2026-06-22T00:11:28.134Z