Advances in Differential Equations

Small solutions for nonlinear heat equations, the Navier-Stokes equation and the Keller-Segel system in Besov and Triebel-Lizorkin spaces

Tsukasaa Iwabuchi and Makoto Nakamura

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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.

Article information

Source
Adv. Differential Equations Volume 18, Number 7/8 (2013), 687-736.

Dates
First available in Project Euclid: 20 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.ade/1369057711

Mathematical Reviews number (MathSciNet)
MR3086672

Zentralblatt MATH identifier
06191029

Subjects
Primary: 35K58: Semilinear parabolic equations 76D05: Navier-Stokes equations [See also 35Q30] 30H25: Besov spaces and $Q_p$-spaces

Citation

Iwabuchi, Tsukasaa; Nakamura, Makoto. 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 (2013), no. 7/8, 687--736. https://projecteuclid.org/euclid.ade/1369057711.


Export citation