Local solvability of the Keller-Segel system with Cauchy data in the Besov spaces

Tsukasa Iwabuchi

doi:10.1002/mma.2883

Local solvability of the Keller-Segel system with Cauchy data in the Besov spaces

Tsukasa Iwabuchi

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The Cauchy problem for the Keller-Segel system of parabolic elliptic type is considered for initial data in the Besov spaces Bp,∞-2+np(Rn) with p<∞, and a sufficient condition is given on the existence and the uniqueness of local solutions.

Original language	English
Pages (from-to)	1273-1277
Number of pages	5
Journal	Mathematical Methods in the Applied Sciences
Volume	37
Issue number	9
DOIs	https://doi.org/10.1002/mma.2883
Publication status	Published - 2014 Jun

Keywords

Besov spaces
Cauchy problems
Keller-Segel system

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10.1002/mma.2883

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title = "Local solvability of the Keller-Segel system with Cauchy data in the Besov spaces",

abstract = "The Cauchy problem for the Keller-Segel system of parabolic elliptic type is considered for initial data in the Besov spaces Bp,∞-2+np(Rn) with p<∞, and a sufficient condition is given on the existence and the uniqueness of local solutions.",

keywords = "Besov spaces, Cauchy problems, Keller-Segel system",

author = "Tsukasa Iwabuchi",

year = "2014",

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language = "English",

volume = "37",

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AU - Iwabuchi, Tsukasa

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N2 - The Cauchy problem for the Keller-Segel system of parabolic elliptic type is considered for initial data in the Besov spaces Bp,∞-2+np(Rn) with p<∞, and a sufficient condition is given on the existence and the uniqueness of local solutions.

AB - The Cauchy problem for the Keller-Segel system of parabolic elliptic type is considered for initial data in the Besov spaces Bp,∞-2+np(Rn) with p<∞, and a sufficient condition is given on the existence and the uniqueness of local solutions.

KW - Besov spaces

KW - Cauchy problems

KW - Keller-Segel system

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Local solvability of the Keller-Segel system with Cauchy data in the Besov spaces

Abstract

Keywords

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