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Investigates the existence and uniqueness of solutions in one-dimensional equations, suggesting key mathematical insights.
We study the class of one-dimensional equations on a line segment driven by a stochastic measure μ μ . For μ μ , we assume only σ σ -additivity in probability. This class of equations includes the Burgers equation and the heat equation. The existence and uniqueness of the solution are studied, and, for some cases, the Hölder continuity of the solution is established. The equivalence of weak and mild forms of the equation is proved.
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В. М. Радченко (2026) studied this question.
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