Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 080-01. Endpoint convergence for the planar Schrodinger equation
Manuscript map · lines 4035–4044
OpenAI@2026-10-07#rem:oai-p-080-01
Authors: OpenAI. Family 080.
Title: Endpoint convergence for the planar Schrodinger equation.
Abstract: We resolve the planar Sobolev endpoint of Carleson's convergence problem: for initial data in $H{}{1/3}({}mathbb R{}2)$, the Schrödinger evolution converges almost everywhere to the initial data as $t{}downarrow0$. The evolution is defined by taking the Gaussian regularization limit first; on one full-measure spatial set, this limit exists for every $0{}lt t{}lt 1$, and the resulting evolution is continuous at t = 0.
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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