✦ LIBER ✦

On the Vlasov–Poisson–Fokker–Planck Equations with Measures in Morrey Spaces as Initial Data

✍ Scribed by José A Carrillo; Juan Soler

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 276 KB
Volume: 207
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5296

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper the existence of weak solutions, local and global in time solutions for small initial distribution of particles, for the three-dimensional Vlasov᎐ Poisson᎐Fokker᎐Planck system with measures as initial data is obtained. Also, the uniqueness and stability for these solutions is analysed. The distribution of particles to be considered is the measures with special decay contained in Morrey spaces.

📜 SIMILAR VOLUMES

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