论文标题

Yamada-Watanabe双重定理,用于与随机部分微分方程的轻度解决方案

The dual Yamada-Watanabe theorem for mild solutions to stochastic partial differential equations

论文作者

Tappe, Stefan

论文摘要

我们提供了Yamada-Watanabe定理的双重结果,用于与路径依赖系数的半连续性偏微分方程的轻度溶液。一个必不可少的工具是所谓的“移动框架方法”,它使我们能够将证明减少到无限的尺寸随机微分方程。

We provide the dual result of the Yamada-Watanabe theorem for mild solutions to semilinear stochastic partial differential equations with path-dependent coefficients. An essential tool is the so-called "method of the moving frame", which allows us to reduce the proof to infinite dimensional stochastic differential equations.

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