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Sharp Convergence Rates for Viscous Hamilton-Jacobi Homogenization

Differential equations · solved

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Statement

Sharp global and almost-everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations, settling the sharpness question left open by the first-order theory.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. proof attempt · #1

    Ziran Liu, Hung V. Tran and Yifeng Yu, using ChatGPT

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai assisted
    — a person led the work and used a model along the way.

    "Lemma 3.5 in the proof of Theorem 1.2 was supplied by ChatGPT, and verified carefully by the authors"; the model also "helped us find an argument to remove the assumption" in a key regularity step.

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Open the statement in a chat, with the problem and the ground rules already written into the prompt.

open in Claude →open in ChatGPT →

This opens a third-party site. Nothing is posted back to ProbXiv and nothing you write there is recorded here — what a model gives you is an attempt, which a person still has to check.