Advanced Studies in Pure Mathematics

Stability analysis of asymptotic profiles for fast diffusion equations

Goro Akagi and Ryuji Kajikiya

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Abstract

This note is devoted to reviewing the authors' recent work [1] on the stability analysis of asymptotic profiles of solutions to the Cauchy–Dirichlet problem for the fast diffusion equation.

Article information

Source
Nonlinear Dynamics in Partial Differential Equations, S. Ei, S. Kawashima, M. Kimura and T. Mizumachi, eds. (Tokyo: Mathematical Society of Japan, 2015), 183-191

Dates
Received: 15 December 2011
First available in Project Euclid: 30 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1540934213

Digital Object Identifier
doi:10.2969/aspm/06410183

Mathematical Reviews number (MathSciNet)
MR3381202

Zentralblatt MATH identifier
1336.35203

Subjects
Primary: 35K67: Singular parabolic equations 35B40: Asymptotic behavior of solutions 35B35: Stability

Keywords
Fast diffusion equation asymptotic profile stability analysis

Citation

Akagi, Goro; Kajikiya, Ryuji. Stability analysis of asymptotic profiles for fast diffusion equations. Nonlinear Dynamics in Partial Differential Equations, 183--191, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06410183. https://projecteuclid.org/euclid.aspm/1540934213


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