Sharp Convergence Rates for Viscous Hamilton-Jacobi Homogenization
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.
- Result
- Proved
- Status
- Resolved
- AI contribution
- AI-assisted
- Method
- Argument
- Field
- PDE homogenization
- Posed by
- —
- Year posed
- —
- Years open
- —
- Solved
- 2026-04-21
- Model
- ChatGPT
- Vendor
- OpenAI
- Collaborators
- Ziran Liu, Hung V. Tran, Yifeng Yu
- Verification
- Unreviewed
- Publication
- Preprint
- Significance
- 10 / 100
- Disclosed cost
- —
- Wikipedia
- No dedicated article
What the AI did
"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.