{"id":"openai-math/Global-Uniqueness-for-the-Smooth-Isotropic-Elasticity-Inverse-Problem","pdf":"https://github.com/openai/math/blob/main/preprints/Global-Uniqueness-for-the-Smooth-Isotropic-Elasticity-Inverse-Problem-September-24-2026/article.pdf","url":"https://github.com/openai/math/tree/main/preprints/Global-Uniqueness-for-the-Smooth-Isotropic-Elasticity-Inverse-Problem-September-24-2026","tags":["inverse-problems","elasticity","calderon-problem","pde"],"score":0,"title":"Global Uniqueness for the Smooth Isotropic Elasticity Inverse Problem","domain":"Partial differential equations","family":"372","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AP","summary":"We prove that the full static displacement-to-traction map uniquely determines both real smooth Lamé moduli on every bounded connected smooth domain in ℝ 3 , provided μ > 0 and $`3\\lambda+2\\mu\\gt 0`$ on the closure. This resolves the smooth three-dimensional isotropic elastic Calderón uniqueness problem under these positivity assumptions.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"Global uniqueness in smooth isotropic elasticity"}