The Cauchy problem and self-similar solutions for a nonlinear parabolic equation
Volume 114 / 1995
Studia Mathematica 114 (1995), 181-205
DOI: 10.4064/sm-114-2-181-205
Abstract
The existence of solutions to the Cauchy problem for a nonlinear parabolic equation describing the gravitational interaction of particles is studied under minimal regularity assumptions on the initial conditions. Self-similar solutions are constructed for some homogeneous initial data.
