A PDE approach to stochastic invariance

Hitoshi Ishii, Paola Loreti, Maria Elisabetta Tessitore

Research output: Contribution to journalArticle

2 Citations (Scopus)


We study an invariance property for a controlled stochastic differential equation and give a few of its characterizations in connection with the corresponding Hamilton-Jacobi-Bellman equation.

Original languageEnglish
Pages (from-to)651-664
Number of pages14
JournalDiscrete and Continuous Dynamical Systems
Issue number3
Publication statusPublished - 2000 Jul
Externally publishedYes


  • Invariance property
  • Second-order Hamilton-Jacobi-Bellman equation
  • Stochastic differential equations
  • Viscosity solutions

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Fingerprint Dive into the research topics of 'A PDE approach to stochastic invariance'. Together they form a unique fingerprint.

  • Cite this

    Ishii, H., Loreti, P., & Tessitore, M. E. (2000). A PDE approach to stochastic invariance. Discrete and Continuous Dynamical Systems, 6(3), 651-664.