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Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions

open access: yesElectronic Journal of Differential Equations, 2006
The Keller-Segel system describes the collective motion of cells which are attracted by a chemical substance and are able to emit it. In its simplest form it is a conservative drift-diffusion equation for the cell density coupled to an elliptic ...
Adrien Blanchet   +2 more
doaj  

The Real and Complex Techniques in Harmonic Analysis from the Point of View of Covariant Transform

open access: yes, 2014
This note reviews complex and real techniques in harmonic analysis. We describe a common source of both approaches rooted in the covariant transform generated by the affine group.
Kisil, Vladimir V.
core  

Book Review: The Hardy-Littlewood method [PDF]

open access: yesBulletin of the American Mathematical Society, 1982
openaire   +1 more source

Sums of integer cubes. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Siksek S.
europepmc   +1 more source

A surprising formula for Sobolev norms. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Brezis H, Van Schaftingen J, Yung PL.
europepmc   +1 more source

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