Application of an Adams type inequality to a two-chemical substances chemotaxis system

DOI10.1016/j.jde.2017.02.031zbMath1364.35120OpenAlexW2594722429MaRDI QIDQ525959

Kentarou Fujie, Takasi Senba

Publication date: 8 May 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.02.031

zbMATH Keywords

chemotaxisglobal existenceLyapunov functionalAdams' inequality

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Axially symmetric solutions to PDEs (35B07)

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