Open Research Index

Local smoothing for the Euclidean wave equation

OpenAI

OpenAI Mathopenai-math/Local-smoothing-for-the-Euclidean-wave-equationOct 25, 2026math.CAAI-generatedscore 0

OpenAI's October 25 manuscript claims local smoothing in spatial dimension n>=2, with consequences for Kakeya and restriction. The accompanying Lean scope allows arbitrarily small positive Sobolev loss except at p=2 and gives restriction estimates in strict ranges. Released October 26 as raw model output for independent examination; this listing does not assert universal endpoint estimates or independent proof verification.

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