Geodesic
The Cauchy problem and self-similar solutions for a nonlinear parabolic equation
Studia Mathematica, Tome 114 (1995) no. 2, pp. 181-205

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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.
DOI : 10.4064/sm-114-2-181-205
Keywords: nonlinear parabolic-elliptic system, Cauchy problem, self-similar solutions

Piotr Biler 1

1 
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Piotr Biler. The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Studia Mathematica, Tome 114 (1995) no. 2, pp. 181-205. doi: 10.4064/sm-114-2-181-205

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