Existence of solutions for a model of self-gravitating particles with external potential
Volume 66 / 2004
Banach Center Publications 66 (2004), 263-275
MSC: 35K15, 35B40, 82C21.
DOI: 10.4064/bc66-0-18
Abstract
We study 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. The initial data are in spaces of (generalized) pseudomeasures. We prove existence of local and global-in-time solutions, and also a kind of stability of global solutions.
