On the Optimal Impulse Control Problem for Degenerate Diffusions
J. L. Menaldi · SIAM Journal on Control and Optimization · 1980
In this paper, we give a characterization of the optimal cost of an impulse control problem as the maximum solution of a quasi-variational inequality without assuming nondegeneracy. An estimate of the velocity of uniform convergence of the sequence of stopping time problems associated with the impulse control problem is given.