三维Vlasov-Poisson系统的库仑修正标记能量与增长估计
A Coulomb-Corrected Labeled Energy and Growth Estimates for the Vlasov-Poisson System
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中文总结 AI 辅助
本文针对三维排斥Vlasov-Poisson系统的光滑紧支集解，引入库仑修正标记能量，通过替换电场项为加权奇异积分得到速度支集和电场衰减的改进界。
中文摘要 AI 辅助
本文针对三维排斥Vlasov-Poisson系统具有紧支集的光滑解，引入库仑修正标记能量。所得恒等式将特征线上的直接电场项替换为加权奇异积分，可更有效估计，进而得到速度支集和电场衰减的改进界。
英文摘要
This paper introduces a Coulomb-corrected labeled energy for smooth compactly supported solutions of the three-dimensional repulsive Vlasov--Poisson system. The resulting identity replaces the direct electric-field term along a characteristic by a weighted singular integral, which can be estimated more effectively. Thus this structure yields improved bounds on the velocity support and the decay of the electric field.
