Behaviour near extinction for the Fast Diffusion Equation on bounded domains

2010/12/03 by Matteo Bonforte, Bonforte, Matteo, Gabriele Grillo +2 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Differential Equations and Numerical Methods

paper · pdf · doi:10.48550/arxiv.1012.0700

Abstract

We consider the Fast Diffusion Equation u_t=Δu^m posed in a bounded smooth domain Ω⊂ \RR^d with homogeneous Dirichlet conditions; the exponent range is m_s=(d-2)₊/(d+2)

Citations

• Semilinear elliptic equations and supercritical growth

Cited by

• Optimal Weighted Smoothing and Asymptotics of Ancient Solutions for Fast Diffusion Equations

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