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ShowingImportancePrizesTopicAlmost Sure Global Wellposedness1 claim

Extending local almost sure wellposedness for PDEs with random initial data to global-in-time solutions, notably by iterating on an invariant measure of the flow (Bourgain's method); covers the invariant-measure iteration argument itself, its hypotheses, and its applications to specific equations.

Almost sure local wellposedness can be iterated to global wellposedness when data is drawn from an invariant measure.
UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitutionmathematicalA proposition of mathematics: true or false by proof rather than by observation. Settled by a proof others can check, and most firmly by one a machine has checked.constitutionPDE Wellposednessimportance · settledImportance 0.20, from 0 to 1 · settled: uncontested, so low even when much depends on it. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution

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