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Nonlocal parabolic-elliptic Keller-Segel systems with nonlinear growth and signal production

Year: 2026

Type: article

Abstract: We study the nonlocal parabolic-elliptic Keller-Segel system in the entire space, incorporating nonlinearities for both cell kinetics and chemical signal production. Our aim is to establish a global solvability result with small data and prove the Hölder regularity for the obtained mild solution. The proofs are based on Fourier analysis, resolvent theory and fixed-point arguments.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2026.131132

Authors: Tran Dinh Ke, Tran Thi Thu

Institutions: Hanoi National University of Education, Hanoi Pedagogical University 2

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W7221748829

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Cites: 23

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