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BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
Volume -, Issue -, Pages -Publisher
WILEY
DOI: 10.1112/blms.12958
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This article demonstrates the global existence and boundedness of classical solutions for a parabolic-elliptic chemotaxis system with local sensing, assuming that the motility function is unbounded at infinity. The cornerstone of the proof lies in deriving L∞-estimates for the second component of the system by employing various comparison arguments.
Global existence and boundedness of classical solutions are shown for a parabolic-elliptic chemotaxis system with local sensing when the motility function is assumed to be unbounded at infinity. The cornerstone of the proof is the derivation of L infinity$L<^>\infty$-estimates on the second component of the system and is achieved by various comparison arguments.
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