English

A class of optimal stopping problems for Markov processes

Probability 2013-07-22 v1

Abstract

Our purpose is to study a particular class of optimal stopping problems for Markov processes. We justify the value function convexity and we deduce that there exists a boundary function such that the smallest optimal stopping time is the first time when the Markov process passes over the boundary depending on time. Moreover, we propose a method to find the optimal boundary function.

Keywords

Cite

@article{arxiv.0809.4990,
  title  = {A class of optimal stopping problems for Markov processes},
  author = {Diana Dorobantu},
  journal= {arXiv preprint arXiv:0809.4990},
  year   = {2013}
}
R2 v1 2026-06-21T11:25:16.185Z