Analysis · Oct 6, 2026
Local smoothing in three dimensions
Resolves Sogge's local smoothing conjecture for the Euclidean wave equation in three spatial dimensions. The estimate holds throughout the full strict range , with Sobolev regularity above . In particular, the critical L3 estimate holds with every positive Sobolev loss.
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Unreleased OpenAI model
AI systems: Unreleased OpenAI model