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Schrödinger initial-data convergence reference
Family 080: The exact Sobolev endpoint for Schrödinger convergence. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Dispersive solver researchers can document the exact Sobolev endpoint for almost-everywhere return to initial data.
Applicability and commercial boundary
An endpoint convergence statement does not give a finite-time error rate or apply to arbitrary nonlinear Schrödinger models.
Initial business decision
Research or conditional engineering only until an effective implementation and a recurring buyer problem are identified. No commercial demand or profitability is established. Where a direct product bridge is weak, the legitimate use is a research reference or evidence adapter, rather than a new standalone company.
Next verification action
Inspect quantitative estimates and choose a finite reference datum.
Evidence scope
The catalog statement was individually reviewed. The manuscript proof and selected formal statement have not yet been compared in depth for this family. No independent proof verification was run. Pinned source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.