Global bounded classical solutions to a parabolic-elliptic chemotaxis model with local sensing and asymptotically unbounded motility - Archive ouverte HAL Access content directly
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## Global bounded classical solutions to a parabolic-elliptic chemotaxis model with local sensing and asymptotically unbounded motility

Jie Jiang
• Function : Author
• PersonId : 1234773
Philippe Laurençot

#### Abstract

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 $L^\infty$-estimates on the second component of the system and is achieved by various comparison arguments.

#### Domains

Mathematics [math] Analysis of PDEs [math.AP]

### Dates and versions

hal-04018777 , version 1 (08-03-2023)

### Identifiers

• HAL Id : hal-04018777 , version 1
• ARXIV :

### Cite

Jie Jiang, Philippe Laurençot. Global bounded classical solutions to a parabolic-elliptic chemotaxis model with local sensing and asymptotically unbounded motility. 2023. ⟨hal-04018777⟩

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