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Global regular and singular solutions for a model of gravitating particles

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Abstract.

The existence of solutions of a nonlinear parabolic equation describing the gravitational interaction of particles is studied for the initial data in spaces of (generalized) pseudomeasures. This approach permits us to relax regularity assumptions on the initial conditions and to prove asymptotic stability results for the above problem.

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Authors and Affiliations

  1. Instytut Matematyczny, Uniwersytet Wroclawski, pl. Grunwaldzki 2/4, 50-384 Wroclaw Poland and Institute of Mathematics, Polish Academy of Sciences, Warsaw (2002–2003)

    Piotr Biler & Grzegorz Karch

  2. Université de Marne-la-Vallée, Laboratoire d’Analyse et de Mathématiques Appliquées, Cité Descartes, 77454, Marne-la-Vallée Cedex 2, France

    Marco Cannone

  3. Centre for Mathematical Modeling, Universidad de Chile, FCFM, Casilla 170 Correo 3, Santiago, Chile

    Ignacio A. Guerra

Authors
  1. Piotr Biler
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  2. Marco Cannone
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  3. Ignacio A. Guerra
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  4. Grzegorz Karch
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Corresponding author

Correspondence to Piotr Biler.

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Mathematics Subject Classification (2000):35B40, 35K15, 82C21

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Biler, P., Cannone, M., Guerra, I. et al. Global regular and singular solutions for a model of gravitating particles. Math. Ann. 330, 693–708 (2004). https://doi.org/10.1007/s00208-004-0565-7

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  • DOI: https://doi.org/10.1007/s00208-004-0565-7

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