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Improvement of convergence rates for a parabolic system of chemotaxis in the whole space

✍ Scribed by T. Yamada

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
293 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by S. Chen

We are interested in the asymptotic behavior of solutions towards a parabolic system of chemotaxis in R n , n 1. It was proved in the previous results that decaying solutions converge to the heat kernel in L p .R n /.1 Γ„ p Γ„ 1/ at the rate t n.1 1=p/=2 1=2 as t ! 1. Our aim in this paper is to improve the convergence rates by taking into account the center of mass of such solutions.

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