Optimal Gradient Estimates and Asymptotic Behaviour for the Vlasov–Poisson System with Small Initial Data

On the initial value problem for the Vla

On the initial value problem for the Vlasov-Poisson-Fokker-Planck system with initial data in Lp spaces

✍ José A. Carrillo; Juan Soler 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 656 KB

## Abstract In this paper the global existence of weak solutions for the Vlasov‐Poisson‐Fokker‐Planck equations in three dimensions is proved with an __L__^1^ ∩ __L^p^__ initial data. Also, the global existence of weak solutions in four dimensions with small initial data is studied. A convergence o