On radially symmetric solutions of some chemotaxis system
Volume 86 / 2009
Banach Center Publications 86 (2009), 303-312
MSC: 35Q80, 35K60, 35B40, 45G10, 47H10.
DOI: 10.4064/bc86-0-19
Abstract
This paper contains some results concerning self-similar radial solutions for some system of chemotaxis. This kind of solutions describe asymptotic profiles of arbitrary solutions with small mass. Our approach is based on a fixed point analysis for an appropriate integral operator acting on a suitably defined convex subset of some cone in the space of bounded and continuous functions.
