A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production

DOI10.3934/cpaa.2019092zbMath1412.35181OpenAlexW2912740711MaRDI QIDQ2415191

Michael Winkler, Youshan Tao

Publication date: 20 May 2019

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019092

zbMATH Keywords

boundednessglobal existencechemotaxis-haptotaxis systemmaximal Sobolev regularitynonlinear signal production

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17)

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