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)

Research output: Contribution to journalComment/debate

Abstract

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.

Original languageEnglish
Number of pages1
JournalMathematische Nachrichten
Volume292
Issue number5
DOIs
Publication statusPublished - May 2019

Keywords

  • 35K51
  • 92C17
  • chemotaxis system with signal sensitivity
  • parabolic-elliptic system
  • parabolic-parabolic system
  • Primary: 35A09; Secondary: 35J15

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