Nonuniqueness for Bounded Measurable Scalar Conductivities in Three Dimensions
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OpenAI
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.
Claims
SOLUTION CLAIMED
OP-00712 — Calderón uniqueness for bounded measurable conductivities
Files and sources
- Paper
- math @ 1581d4c, build/paper.tex ↗
- Posted on GitHub
- 6 October 2026
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