By studying the infinite dimensional Kolmogorov equation with non-local operator, we show the pathwise uniqueness for stochastic partial differential equation driven by cylindrical α-stable process with Hölder continuous drift.

中文翻译：

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圆柱α-稳定过程驱动的一类SPDE的路径唯一性

通过研究具有非局部算子的无穷维Kolmogorov方程，我们证明了由带有Hölder连续漂移的圆柱α稳定过程驱动的随机偏微分方程的路径唯一性。