Remark: Family 080. The Sobolev endpoint in Carleson's Schrödinger convergence problem

Proves almost-everywhere convergence $e^{it\Delta }f\to f$ as $t\downarrow 0$ for every $f\in H^{n/(2(n+1))}({\mathbb{R}}^n)$ and every dimension $n\ge 2$. This attains the sharp Sobolev equality case of Carleson's Schrödinger convergence problem, including the planar endpoint $H^{1/3}$.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.