Aronson–Bénilan estimates for the fast diffusion equation under the Ricci flow

Aronson–Bénilan estimates for the fast diffusion equation under the Ricci flow

We study the fast diffusion equation with a linear forcing term, (0.1)∂u∂t=div(|u|p−1∇u)+Ru,under the Ricci flow on a complete manifold M such that M×R2 has bounded curvature and nonnegative isotropic curvature, where 0

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Veröffentlicht in:Nonlinear analysis 2018-05, Vol.170, p.258-281
Hauptverfasser: Cao, Huai-Dong, Zhu, Meng
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Differential equations
Diffusion rate
Estimates
Estimating techniques
Mathematical functions
Numerical analysis
Topological manifolds
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Zusammenfassung:We study the fast diffusion equation with a linear forcing term, (0.1)∂u∂t=div(|u|p−1∇u)+Ru,under the Ricci flow on a complete manifold M such that M×R2 has bounded curvature and nonnegative isotropic curvature, where 0
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2018.01.006