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Long‐Time Behavior of Solution to a Chemotaxis System With Singular Sensitivity in Dimension One

Xiangdong Zhao, Tao Pan, Shuangshuang Zhou

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Source: Crossref

Published: Jan 19, 2026

DOI: 10.1002/mma.70492

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Source abstract

ABSTRACT This paper deals with a chemotaxis system with singular sensitivity , in a bounded interval with and . It is shown that the system possesses a globally bounded classical solution which enjoys the exponential convergence in ‐norm as depending on the sign of .

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Long‐Time Behavior of Solution to a Chemotaxis System With Singular Sensitivity in Dimension One — Mathematical Frontier Network