Advances in Differential Equations and Control Processes
Volume 7, Issue 2, Pages 93 - 112
(May 2011)
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GLOBAL WELL-POSEDNESS FOR THE KELLER-SEGEL SYSTEM OF EQUATIONS IN CRITICAL SPACES
Hantaek Bae
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Moreover,
with additional assumptions on initial data, we prove the conservation of mass,
and nonnegativity of the density function and the concentration of the
chemo-attractant.