A reentrant corner rules out the proposed Poisson bound
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No: for d = 2, C = I and the three-quarter disc sector 0 < r < 1, 0 < theta < 3pi/2, no finite M and omega give the bound; the conormal derivative of r^{2/3} sin(2theta/3), of size r^{-1/3} near the reentrant corner, violates the separated-support estimate the bound implies..
Claims
Files and sources
- Paper
- AIM @ a153f46, 435-corner-poisson-counterexample/PROOF.md ↗
- Posted on GitHub
- 1 October 2026
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