Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604206 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2014 | 19 Pages |
Abstract
This paper is concerned with stability analysis of asymptotic profiles for (possibly sign-changing) solutions vanishing in finite time of the Cauchy–Dirichlet problems for fast diffusion equations in annuli. It is proved that the unique positive radial profile is not asymptotically stable, and moreover, it is unstable for the two-dimensional annulus. Furthermore, the method of stability analysis presented here will be also applied to exhibit symmetry breaking of least energy solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Goro Akagi, Ryuji Kajikiya,