| Abstract: |
| We give an explicit construction of the boundary which solves the distribution constrained optimal stopping when the cost function is not of Root-type. The boundary can be characterised analytically and probabilistically. From the analytical perspective, it is characterised by the viscosity solution of a variational inequality with Wentzell type boundary condition. From the probabilistic perspective, it can be characterised by the backward optimal stopping of a Sticky Brwonian motion without distribution constraint. |
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