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ArticleOriginal scientific text

Title

The Cauchy problem and self-similar solutions for a nonlinear parabolic equation

Authors 1

Affiliations

  1. Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

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.

Keywords

ENG
nonlinear parabolic-elliptic system, Cauchy problem, self-similar solutions

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Studia Mathematica
1995/114/2
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Pages:
181-205
Main language of publication
English
Received
1994-07-25
Accepted
1995-01-27
Published
1995
Exact and natural sciences