Weak-$L^{p}$ solutions for a model of self-gravitating particles with an external potential
Volume 179 / 2007
Studia Mathematica 179 (2007), 199-216
MSC: 35B40, 35K55, 35K57, 82C21.
DOI: 10.4064/sm179-3-1
Abstract
The existence of solutions to a nonlinear parabolic equation describing the temporal evolution of a cloud of self-gravitating particles with a given external potential is studied in weak-$L^p$ spaces (i.e. Markiewicz spaces). The main goal is to prove the existence of global solutions and to study their large time behaviour.
