Wave propagation regularity assumption ledger

Family 079: Local smoothing in three dimensions. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

PDE researchers can track the precise regularity losses allowed by Euclidean wave local smoothing.

Applicability and commercial boundary

Strict Sobolev ranges and spacetime norms differ from pointwise simulation accuracy. No mesh or time-step rule is supplied.

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

Combine a concrete solver convergence theorem with the source estimate before proposing certification.

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.

Critical local smoothing for the three-dimensional wave equation.