Bounded complex harmonic lifting from Agmon's maximum estimate
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Yes: for every d >= 2, every bounded connected C^infty domain Omega and every constant accretive C there is K(Omega, C) < infinity with ||u_phi||_inf <= K ||phi||_inf for all phi in H^{1/2} cap L^inf, from Agmon's 1960 maximum estimate with its L^1 remainder controlled by an L^2 duality bound, extended from smooth data by heat smoothing on the boundary..
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SOLUTION CLAIMED
OP-00670 — Bounded harmonic lifting for complex media
Files and sources
- Paper
- AIM @ a153f46, 218-complex-harmonic-lifting/PROOF.md ↗
- Posted on GitHub
- 1 October 2026
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