Transport equation driven by a stochastic measure

Published 21 Jul 2024 in math.PR | (2407.15232v2)

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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Authors (1)

Vadym Radchenko

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