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July/August 2013 Small solutions for nonlinear heat equations, the Navier-Stokes equation and the Keller-Segel system in Besov and Triebel-Lizorkin spaces
Tsukasaa Iwabuchi, Makoto Nakamura
Adv. Differential Equations 18(7/8): 687-736 (July/August 2013).

Abstract

The existence of global and almost-global solutions of heat equations with derivative nonlinear terms is considered for small initial data in the Besov or Triebel--Lizorkin spaces. As an application, the Navier--Stokes equation and the Keller--Segel system of parabolic elliptic type are considered.

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Tsukasaa Iwabuchi. Makoto Nakamura. "Small solutions for nonlinear heat equations, the Navier-Stokes equation and the Keller-Segel system in Besov and Triebel-Lizorkin spaces." Adv. Differential Equations 18 (7/8) 687 - 736, July/August 2013.

Information

Published: July/August 2013
First available in Project Euclid: 20 May 2013

zbMATH: 06191029
MathSciNet: MR3086672

Subjects:
Primary: 30H25, 35K58, 76D05

Rights: Copyright © 2013 Khayyam Publishing, Inc.

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Vol.18 • No. 7/8 • July/August 2013
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