Geodesic
Weak-$L^{p}$ solutions for a model of self-gravitating particles with an external potential
Andrzej Raczy/nski 1
1 Instytut Matematyczny Uniwersytet Wroc/lawski Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland
Studia Mathematica, Tome 179 (2007) no. 3, pp. 199-216 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm179-3-1
Keywords: existence solutions nonlinear parabolic equation describing temporal evolution cloud self gravitating particles given external potential studied weak l spaces markiewicz spaces main prove existence global solutions study their large time behaviour

Andrzej Raczy/nski  1

1 Instytut Matematyczny Uniwersytet Wroc/lawski Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland 
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Andrzej Raczy/nski. Weak-$L^{p}$ solutions for a model of
 self-gravitating particles with an external potential. Studia Mathematica, Tome 179 (2007) no. 3, pp. 199-216. doi: 10.4064/sm179-3-1

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