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· 2024 · arXiv 2403.12652

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math.PR 1

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The Yamada-Watanabe-Engelbert theorem for SPDEs in Banach spaces

math.PR · 2025-01-31 · accept · novelty 7.0

For SPDEs with cylindrical Wiener noise in Banach spaces, weak existence plus pathwise uniqueness is equivalent to strong existence plus joint weak uniqueness under flexible path-space and integrability assumptions.

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  • The Yamada-Watanabe-Engelbert theorem for SPDEs in Banach spaces math.PR · 2025-01-31 · accept · none · ref 1

    For SPDEs with cylindrical Wiener noise in Banach spaces, weak existence plus pathwise uniqueness is equivalent to strong existence plus joint weak uniqueness under flexible path-space and integrability assumptions.