Advances in Differential Equations

Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller--Segel equations in the whole space

Pierre Gilles Lemarié--Rieusset

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Abstract

We prove global existence and stability for the Keller--Segel equations with small initial values in the critical Morrey space.

Article information

Source
Adv. Differential Equations Volume 18, Number 11/12 (2013), 1189-1208.

Dates
First available in Project Euclid: 4 September 2013

Permanent link to this document
https://projecteuclid.org/euclid.ade/1378327383

Mathematical Reviews number (MathSciNet)
MR3129022

Zentralblatt MATH identifier
1284.35226

Subjects
Primary: 35K57: Reaction-diffusion equations 35B35: Stability

Citation

Lemarié--Rieusset, Pierre Gilles. Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller--Segel equations in the whole space. Adv. Differential Equations 18 (2013), no. 11/12, 1189--1208. https://projecteuclid.org/euclid.ade/1378327383.


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