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arXiv · 2407.15434

The Burgers equation driven by a stochastic measure

Vadym Radchenko
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Abstract

We study the class of one-dimensional equations driven by a stochastic measure $\mu$. For $\mu$ we assume only $\sigma$-additivity in probability. This class of equations include the Burgers equation and the heat equation. The existence and uniqueness of the solution are proved, and the averaging principle for the equation is studied.

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Vadym Radchenko. 2024-07-22. The Burgers equation driven by a stochastic measure. https://doi.org/10.15559/23-vmsta224

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