clopen.solutions

Directional moment bounds do not imply fractional coercivity

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No: for n = 2, s = 1/2, λ = 1, Λ = 4 the half-plane kernel 1{tr > 0}/|x − z|^3 satisfies both conditions, while smooth v_ε have bounded K-energy and H^{1/2} energy growing like log(1/ε)..

Claims

SOLUTION CLAIMED OP-00701 — Does directional ellipticity force a fractional energy bound?
Counterexample · fidelity not yet established

Files and sources

Paper
AIM @ a153f46, 471-nonlocal-coercivity/PROOF.md ↗
Posted on GitHub
1 October 2026

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