On radially symmetric solutions of some chemotaxis system

• Autorzy: Robert Stańczy
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K60: Nonlinear initial value problems for linear parabolic equations
• 47H10: Fixed-point theorems
• 45G10: Other nonlinear integral equations
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 86
• Numer: 1
• Strony: 303-312

Daty

wydano

2009

Twórcy

autor

Robert Stańczy

• Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/bc86-0-19