Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 371-01. Stable self-similar blowup for a supercritical defocusing Schrödinger equation on the torus
Manuscript map · lines 9485–9494
OpenAI@2026-10-07#rem:oai-p-371-01
Authors: OpenAI. Family 371.
Title: Stable self-similar blowup for a supercritical defocusing Schrödinger equation on the torus.
Abstract: We prove stable self-similar finite-time blowup for a supercritical defocusing nonlinear Schrödinger equation on the twelve-dimensional torus. For a sufficiently large odd power, the blowup initial data contain a nonempty open set in a high Sobolev space. As a consequence, Gaussian Fourier initial data of arbitrarily high Sobolev regularity can have positive probability of finite-time blowup.
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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