Erratum to the paper The fast signal diffusion limit in a chemotaxis system with strong signal sensitivity (Mathematische Nachrichten, (2018), 291, 8-9, (1342-1355), 10.1002/mana.201700270)

研究成果: Comment/debate

抄録

We became aware of mistakes in the proof of [, Theorem 1.3]. We would like to thank Professor Michael Winkler for pointing out these mistakes, and moreover, appreciated his modifying arguments in his joint paper with Professors Yulan Wang and Zhaoyin Xiang ([]). In the following notations of the paper are used. The estimate 1 (Formula presented.) obtained in Theorem 1.2, is correct under the condition that 휒0 > 2푘(푎+휂)푘−1/푛. However, we cannot attain Theorem 1.3 from this estimate; more precisely, in the proof of Lemma 4.1, it seems to be impossible to obtain a uniform-in-λ 퐶훼, 훼/2 -estimate for 푣 because λ is a coefficient of (푣). Theorem 1.3 must be corrected as follows.

本文言語English
ページ数1
ジャーナルMathematische Nachrichten
292
5
DOI
出版ステータスPublished - 5 2019

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