We study the one-dimensional equation driven by a stochastic measure μ μ . For μ μ we assume only σ σ -additivity in probability. Our results imply the global existence and uniqueness of the solution to the heat equation and the local existence and uniqueness of the solution to the Burgers equation. The averaging principle for such equation is studied.
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В. М. Радченко (2024) studied this question.
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