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arXiv · 2407.15232

Transport equation driven by a stochastic measure

Vadym Radchenko
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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 $\sigma$-additivity in probability and continuity of paths. The existence and uniqueness of the weak solution to the equation are proved.

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Vadym Radchenko. 2024-07-21. Transport equation driven by a stochastic measure. https://doi.org/10.15559/23-vmsta222

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