Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 079-01. Critical local smoothing for the three-dimensional wave equation
Manuscript map · lines 4025–4034
OpenAI@2026-10-07#rem:oai-p-079-01
Authors: OpenAI. Family 079.
Title: Critical local smoothing for the three-dimensional wave equation.
Abstract: We prove the critical L3 local smoothing estimate for the wave equation in three spatial dimensions, with every positive Sobolev loss. This resolves Sogge's Euclidean local smoothing conjecture in dimension three.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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