English

Solution to HJB equations with an elliptic integro-differential operator and gradient constraint

Optimization and Control 2016-12-01 v3

Abstract

The main goal of this paper is to establish existence, regularity and uniqueness results for the solution of a Hamilton-Jacobi-Bellman (HJB) equation, whose operator is an elliptic integro-differential operator. The HJB equation studied in this work arises in singular stochastic control problems where the state process is a controlled dd-dimensional L\'evy process.

Keywords

Cite

@article{arxiv.1605.04993,
  title  = {Solution to HJB equations with an elliptic integro-differential operator and gradient constraint},
  author = {Harold A. Moreno-Franco},
  journal= {arXiv preprint arXiv:1605.04993},
  year   = {2016}
}
R2 v1 2026-06-22T14:02:20.139Z