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- W3135096937 abstract "These notes aim to provide a deeper insight on the specifics of two articles dealing with chemotaxis models with nonlinear production. More precisely, we are referring to the papers Boundedness of solutions to a quasilinear parabolic-parabolic chemotaxis model with nonlinear signal production by X. Tao, S. Zhou and M. Ding [J. Math. Anal. Appl. 474:1 (2019) 733-747] and Boundedness for a fully parabolic Keller-Segel model with sublinear segregation and superlinear aggregation by S. Frassu and G. Viglialoro [Acta Appl. Math. 171:1 (2021), 19]. These works, independently published in these last years, present results leaving open room for further improvement. Indeed, in the first a gap in the proof of the main claim appears, whereas the cornerstone assumption in the second is not sharp. In these pages we give a more complete picture to the relative underlying comprehension." @default.
- W3135096937 created "2021-03-15" @default.
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- W3135096937 date "2021-02-27" @default.
- W3135096937 modified "2023-10-18" @default.
- W3135096937 title "Remarks on two connected papers about Keller-Segel systems with nonlinear production" @default.
- W3135096937 cites W2912813918 @default.
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- W3135096937 doi "https://doi.org/10.48550/arxiv.2103.00166" @default.
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