2026/07/29 by Zhaopeng Wang
Mathematics · #math.AP
arxiv created 2026/07/29 · arxiv updated 2026/07/30
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.