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

Tappe, S.

doi:10.1090/tpms/1155

Author: S. Tappe
Journal: Theor. Probability and Math. Statist. 105 (2021), 51-68
MSC (2020): Primary 60H15; Secondary 60H10, 60H05
DOI: https://doi.org/10.1090/tpms/1155
Published electronically: December 7, 2021
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Abstract: 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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