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

Andrzej Raczyński. "Weak-$L^{p}$ solutions for a model of self-gravitating particles with an external potential." Studia Mathematica 179.3 (2007): 199-216. <http://eudml.org/doc/284592>.

@article{AndrzejRaczyński2007,
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.},
author = {Andrzej Raczyński},
journal = {Studia Mathematica},
keywords = {nonlinear parabolic-elliptic system; Cauchy problem; weak- space; external potential; Marcinkiewicz spaces},
language = {eng},
number = {3},
pages = {199-216},
title = {Weak-$L^\{p\}$ solutions for a model of self-gravitating particles with an external potential},
url = {http://eudml.org/doc/284592},
volume = {179},
year = {2007},
}

TY - JOUR
AU - Andrzej Raczyński
TI - Weak-$L^{p}$ solutions for a model of self-gravitating particles with an external potential
JO - Studia Mathematica
PY - 2007
VL - 179
IS - 3
SP - 199
EP - 216
AB - 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.
LA - eng
KW - nonlinear parabolic-elliptic system; Cauchy problem; weak- space; external potential; Marcinkiewicz spaces
UR - http://eudml.org/doc/284592
ER -