Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 080-02. Endpoint pointwise convergence for the Schrodinger equation in higher dimensions
Manuscript map · lines 4045–4054
OpenAI@2026-10-07#rem:oai-p-080-02
Authors: OpenAI. Family 080.
Title: Endpoint pointwise convergence for the Schrodinger equation in higher dimensions.
Abstract: We resolve the Sobolev endpoint of Carleson's pointwise convergence problem in every dimension n ≥ 3. For initial data in $H{}{n/(2(n+1))}({}mathbb R{}n)$, the free Schrödinger evolution converges almost everywhere to the initial data as $t{}downarrow0$. The evolution is defined by removing Gaussian regularization on one full-measure spatial set, uniformly over the interval $0{}lt t{}lt 1$.
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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