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

Tsukasa Iwabuchi, Makoto Nakamura

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The existence of globed and almost-globed 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.

Original languageEnglish
Pages (from-to)687-736
Number of pages50
JournalAdvances in Differential Equations
Volume18
Issue number7-8
Publication statusPublished - 2013 Jul 1
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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