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Regularity of the Value Function for a Two-Dimensional Singular Stochastic Control Problem
9 references·16 citing·35 second hop
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References

  • 1988Brownian Motion and Stochastic Calculus1,544 cited
  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 1984Stochastic differential equations with reflecting boundary conditions817 cited
  • 1980Some solvable stochastic control problemst†316 cited
  • 1983Instantaneous Control of Brownian Motion295 cited
  • 1984Optimal Consumption for General Diffusions with Absorbing and Reflecting Barriers202 cited
  • 2006A class of singular stochastic control problems145 cited
  • 1983A class of singular stochastic control problems128 cited
  • 1985Additive Control of Stochastic Linear Systems with Finite Horizon119 cited

Cited by

  • 1995Singular Optimal Stochastic Controls I: Existence97 cited
  • 2001Dynamic Optimization of Long‐Term Growth Rate for a Portfolio with Transaction Costs and Logarithmic Utility86 cited
  • 2013Homogenization and Asymptotics for Small Transaction Costs75 cited
  • 1998Connections between optimal stopping and singular stochastic control67 cited
  • 1991Numerical Methods for Stochastic Singular Control Problems64 cited
  • 2001Stationary Solutions and Forward Equations for Controlled and Singular Martingale Problems

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62 cited
  • 1991A free boundary problem related to singular stochastic control: the parabolic case53 cited
  • 2015Homogenization and Asymptotics for Small Transaction Costs: The Multidimensional Case49 cited
  • 1992Generalized solution in singular stochastic control: The nondegenerate problem44 cited
  • 2015Optimal Execution with Multiplicative Price Impact40 cited
  • 2012Homogenization and Asymptotics for Small Transaction Costs40 cited
  • 1997Numerical analysis of a free-boundary singular control problem in financial economics39 cited
  • 2018Portfolio selection with consumption ratcheting38 cited
  • 2017Optimal liquidation under stochastic liquidity37 cited
  • 2014Characterization of the Optimal Boundaries in Reversible Investment Problems36 cited
  • 2005Bounded Variation Singular Stochastic Control and Dynkin Game34 cited