Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent

DOI10.1112/jlms/jdu025zbMath1295.35085arXiv1309.6173OpenAlexW3104150877MaRDI QIDQ2874654

Marek Fila, John R. King, Michael Winkler

Publication date: 8 August 2014

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6173

zbMATH Keywords

rescalingself-similar profilebehaviour near extinctioncontinuum of algebraic rates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59) Fokker-Planck equations (35Q84)

Related Items

Very slow stabilization for a nonlinear Fokker-Planck equation, Rate of convergence to separable solutions of the fast diffusion equation, Oscillatory decay in a degenerate parabolic equation, Special asymptotics for a critical fast diffusion equation, One-dimensional super-fast diffusion: persistence versus extinction revisited -- extinction at spatial infinity, Optimal rates of convergence to the singular Barenblatt profile for the fast diffusion equation, Sharp rate of convergence to Barenblatt profiles for a critical fast diffusion equation

Cites Work

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• Special fast diffusion with slow asymptotics: Entropy method and flow on a Riemannian manifold
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• Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
• Bounds for the fundamental solution of a parabolic equation