{"id":"openai-math/Nonuniqueness-for-Bounded-Measurable-Scalar-Conductivities-in-Three-Dimensions","pdf":"https://github.com/openai/math/blob/main/preprints/Nonuniqueness-for-Bounded-Measurable-Scalar-Conductivities-in-Three-Dimensions-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Nonuniqueness-for-Bounded-Measurable-Scalar-Conductivities-in-Three-Dimensions-September-23-2026","tags":["inverse-problems","calderon-problem","elliptic-pdes"],"score":0,"title":"Nonuniqueness for bounded measurable scalar conductivities in three dimensions","domain":"Partial differential equations","family":"365","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AP","summary":"We construct two distinct uniformly positive bounded measurable scalar conductivities on a ball in ℝ 3 with the same full Dirichlet-to-Neumann operator. Both conductivities equal one near the boundary. This gives nonuniqueness in the scalar Calderón problem at bounded measurable regularity.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":true,"family_title":"Joint metric and connection recovery from one boundary patch"}