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Infinity-harmonic interpolation regularity reference
Family 377: Interior $C^{1,\alpha}$ regularity for infinity-harmonic functions. First source-informed review, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Interpolation and PDE researchers can track the claimed interior differentiability of bounded infinity-harmonic functions in dimensions at least three.
Applicability and commercial boundary
The Hölder exponent and constants are dimension-dependent and not explicit. No endpoint or boundary regularity is asserted. A numerical interpolator is not automatically infinity-harmonic or accompanied by a usable mesh-error rate.
Initial business decision
Conditional research. Commercial demand and profitability remain hypotheses. Research usefulness is not evidence of a buyer budget.
Next verification action
Inspect effective estimates and identify an independently verified solver convergence result before promising a quantitative interpolation certificate.
Evidence scope
The catalog statement and main-paper abstract or introductory theorem passages were individually reviewed. Available family-level scope documents were inspected, with attention to version differences and exclusions. This is a first application triage, not a full proof audit or independent Lean verification. Family 376 has nine paper abstracts inspected; selected scopes are not assumed to cover all nine papers in full. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.