Asymptotic decay for the classical solution of the chemotaxis system with fractional Laplacian in high dimensions (Q1756865)
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scientific article; zbMATH DE number 6996863
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic decay for the classical solution of the chemotaxis system with fractional Laplacian in high dimensions |
scientific article; zbMATH DE number 6996863 |
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Asymptotic decay for the classical solution of the chemotaxis system with fractional Laplacian in high dimensions (English)
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27 December 2018
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The author studies a doubly parabolic chemotaxis system with fractional Laplacian diffusions. The existence and uniqueness of classical global-in-time solutions is proved under smallness and smoothness assumptions on the initial data.
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chemotaxis system
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fractional diffusion
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classical solutions
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decay estimates
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