Dedicated to Professor Masayasu Mimura on the occasion of his 75th birthday

Nakaguchi, Etsushi

Osaki, Koichi

English

Dedicated to Professor Masayasu Mimura on the occasion of his 75th birthday.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 Lₚ space (p > n) under certain relations between the degradation and production orders

Osaka University Knowledge Archive

GLOBAL EXISTENCE OF SOLUTIONS TO AN n-DIMENSIONAL PARABOLIC-PARABOLIC SYSTEM FOR CHEMOTAXIS WITH LOGISTIC-TYPE GROWTH AND SUPERLINEAR PRODUCTION

https://ir.library.osaka-u.ac.jp/repo/ouka/all/67749/ojm55_01_051.pdf

GLOBAL EXISTENCE OF SOLUTIONS TO AN n-DIMENSIONAL PARABOLIC-PARABOLIC SYSTEM FOR CHEMOTAXIS WITH LOGISTIC-TYPE GROWTH AND SUPERLINEAR PRODUCTION

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