English

Transport equation driven by a stochastic measure

Probability 2024-09-11 v2

Abstract

We consider the stochastic transport equation where the randomness is given by the symmetric integral with respect to stochastic measure. For stochastic measure, we assume only σ\sigma-additivity in probability and continuity of paths. The existence and uniqueness of the weak solution to the equation are proved.

Keywords

Cite

@article{arxiv.2407.15232,
  title  = {Transport equation driven by a stochastic measure},
  author = {Vadym Radchenko},
  journal= {arXiv preprint arXiv:2407.15232},
  year   = {2024}
}

Comments

10 pages

R2 v1 2026-06-28T17:48:52.536Z