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Weak-$L^{p}$ solutions for a model of self-gravitating particles with an external potential

Volume 179 / 2007

Andrzej Raczy/nski Studia Mathematica 179 (2007), 199-216 MSC: 35B40, 35K55, 35K57, 82C21. DOI: 10.4064/sm179-3-1

Abstract

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 is studied in weak-$L^p$ spaces (i.e. Markiewicz spaces). The main goal is to prove the existence of global solutions and to study their large time behaviour.

Authors

  • Andrzej Raczy/nskiInstytut Matematyczny
    Uniwersytet Wroc/lawski
    Pl. Grunwaldzki 2/4
    50-384 Wroc/law, Poland
    e-mail

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