English

Stochastic Solutions for Hyperbolic PDE

Probability 2024-06-28 v2 Analysis of PDEs Complex Variables

Abstract

The theory of stochastic representations of solutions to elliptic and parabolic PDE has been extensive. However, the theory for hyperbolic PDE is notably lacking. In this short note we give a stochastic representation for solutions of hyperbolic PDE.

Keywords

Cite

@article{arxiv.2401.08848,
  title  = {Stochastic Solutions for Hyperbolic PDE},
  author = {Abdol-Reza Mansouri and Zachary Selk},
  journal= {arXiv preprint arXiv:2401.08848},
  year   = {2024}
}

Comments

5 pages. To appear in J. Stoch. Anal

R2 v1 2026-06-28T14:18:45.588Z