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Transport equation driven by a stochastic measure (2407.15232v2)
Published 21 Jul 2024 in math.PR
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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