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Wayne State University

Numerical Analysis and Computation

Degenerate diffusions

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Full-Text Articles in Physical Sciences and Mathematics

On The Optimal Stopping Time Problem For Degenerate Diffusions, J. L. Menaldi Nov 1980

On The Optimal Stopping Time Problem For Degenerate Diffusions, J. L. Menaldi

Mathematics Faculty Research Publications

In this paper we give a characterization of the optimal cost of a stopping time problem as the maximum solution of a variational inequality without coercivity. Some properties of continuity for the optimal cost are also given.


On The Optimal Impulse Control Problem For Degenerate Diffusions, J. L. Menaldi Nov 1980

On The Optimal Impulse Control Problem For Degenerate Diffusions, J. L. Menaldi

Mathematics Faculty Research Publications

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.