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TopicsPDE Wellposedness Almost Sure Global Wellposedness

Almost sure local wellposedness can be iterated to global wellposedness when data is drawn from an invariant measure.

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Decomposition

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one can iterate “almost sure local wellposedness” type results ... into “almost sure (almost) global wellposedness” type results if one is fortunate enough to draw one’s data from an invariant measure for the dynamics

https://terrytao.wordpress.com/2019/09/10/almost-all-collatz-orbits-attain-almost-bounded-values/extraction 0.70

observed by Bourgain in the context of nonlinear Schrödinger equations

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Created by extractor · Sep 13, 2026. Every judgment on this page is accompanied by a reasoning trace.