Stability and instability of group invariant asymptotic profiles for fast diffusion equations

研究成果: Article査読

2 被引用数 (Scopus)

抄録

This paper is concerned with group invariant solutions for fast diffusion equations in symmetric domains. First, it is proved that the group invariance of weak solutions is inherited from initial data. After briefly reviewing previous results on asymptotic profiles of vanishing solutions and their stability, the notions of stability and instability of group invariant profiles are introduced under a similarly invariant class of perturbations, and moreover, some stability criteria are exhibited and applied to symmetric domain (e.g., annulus) cases.

本文言語English
ページ(範囲)1-16
ページ数16
ジャーナルSpringer INdAM Series
2
DOI
出版ステータスPublished - 2013
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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