References
- Chiarolla , M. B. “ Geometric Approach to Monotone Stochastic Control ” . In University of British Columbia, Ph.D. dissertation
- Chiarolla , M. B. and Haussmann , U. G. “ The Free Boundary of the Monotone Follower ” . In SIAM J. Control and Optim to appear
- Chow , P.-L. , Menaldi , J.-L. and Robin , M. 1985 . Additive Control of Stochastic Linear Systems with Finite Horizon . SIAM J. Control and Optim. , 23 : 858 – 899 .
- Davis , M. H. A. and Norman , A. R. 1990 . Portfolio Selection with Transaction Costs . Math. of Operations Research , 15 : 676 – 713 .
- Dellacherie , C. and Meyer , P. A. 1980 . “ Probabilités et Potential ” . Paris : Hermann .
- Gilbarg , D. and Trudinger , N. S. 1983 . “ Elliptic Partial Differential Equations of Second Order ” . New York : Springer-Verlag .
- Karatzas , I. and Shreve , S. E. 1984 . Connection Between Optimal Stopping and Singular Stochastic Control I. Monotone Follower Problems . SIAM J. Control and Optim. , 22 : 856 – 877 .
- Krylov , N. V. 1980 . “ Controlled Diffusion Processes ” . New York : Springer-Verlag .
- Lions , P. L. and Sznitman , A. S. 1986 . Stochastic Differential Equations with Reflecting Boundary Conditions . Comm. Pure and Appl Math , 37 : 511 – 537 .
- Menaldi , J.-L. and Taksar , M. I. 1989 . “ Optimal Correction Problem of a Multidimensional Stochastic System ” . In Automatica Vol. 25 , 223 – 232 .
- Soner , H. M. and Shreve , S. E. 1989 . Regularity of the Value Function for a Two-Dimensional Singular Stochastic Control Problem . SIAM J. Control and Optim. , 27 : 876 – 907 .
- Tanaka , H. 1979 . Stochastic Differential Equations with Reflecting Boundary Conditions in Convex Regions . Hiroshima Math. J. , 9 : 163 – 177 .
- Varadhan , S. R. S. and Williams , R. J. 1985 . Brownian Motion in a Wedge with Oblique Reflection . Comm. Pure Appl. Math. , 38 : 405 – 443 .
- Williams , S. A. , Chow , P.-L. and Menaldi , J.-L. 1990 . “ Regularity of the Free Boundary in Singular Stochastic Control ” . Preprint