The conjecture on energy boundedness and decay for Maxwell fields near-extremal Kerr
Fix M>0M>0M>0. Let η∈(0,1)\eta\in(0,1)η∈(0,1) and m∈Zm\in\mathbb{Z}m∈Z. Let J2,J3≥J1≥Jmin≥1J_2,J_3\geq J_1\geq J_{\mathrm{min}}\geq 1J2,J3≥J1≥Jmin≥1, and let C=C(m,M,J1,J2,J3,η)>0C=C(m,M,J_1,J_2,J_3,\eta)>0C=C(m,M,J1,J2,J3,η)>0. For any ∣a∣≤M|a|\leq M∣a∣≤M and any solution…