Construction of unique mild solution and continuity of solution for the small initial data to 1-D Keller-Segel system
DOI10.3934/DCDSB.2021099zbMath1484.35006OpenAlexW3136900104MaRDI QIDQ2669205
Publication date: 9 March 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021099
Dirichlet boundary conditionmild solutionsmall initial datasuccessive approximationsKeller-Segel system
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
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