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January 2018 Global existence of solutions to an $n$-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth and superlinear production
Etsushi Nakaguchi, Koichi Osaki
Osaka J. Math. 55(1): 51-70 (January 2018).

Abstract

We study the global existence of solutions to an $n$-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth. We introduce superlinear production of a chemoattractant. We then show the global existence of solutions in $L_p$ space $( p > n )$ under certain relations between the degradation and production orders.

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Etsushi Nakaguchi. Koichi Osaki. "Global existence of solutions to an $n$-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth and superlinear production." Osaka J. Math. 55 (1) 51 - 70, January 2018.

Information

Published: January 2018
First available in Project Euclid: 11 January 2018

zbMATH: 06848743
MathSciNet: MR3744975

Subjects:
Primary: 35K51
Secondary: 35A01, 35B45, 35K57, 35Q92, 92C17

Rights: Copyright © 2018 Osaka University and Osaka City University, Departments of Mathematics

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Vol.55 • No. 1 • January 2018
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