Global existence in the 1D quasilinear parabolic-elliptic chemotaxis system with critical nonlinearity
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Publication:2178724
DOI10.3934/dcdss.2020009zbMath1439.35098arXiv1705.08541OpenAlexW2963398570MaRDI QIDQ2178724
Tomasz Cieślak, Kentarou Fujie
Publication date: 11 May 2020
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.08541
A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (2)
No critical nonlinear diffusion in 1D quasilinear fully parabolic chemotaxis system ⋮ Energy-Like Functional in a Quasilinear Parabolic Chemotaxis System
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