The Nagumo equation on self-similar fractal sets.
type: Item
instance of: scholarly article
title: The Nagumo equation on self-similar fractal sets.
zbMATH Open document ID: 1034.35067
DOI: 10.1142/S0252959902000481
author: Jiaxin Hu
published in: Chinese Annals of Mathematics. Series B
publication date: 2002-01-01T00:00:00Z
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 1877205
zbMATH Keywords: zero Neumann boundary conditions
zbMATH Keywords: global Hölder continuous solution
zbMATH Keywords: Sobolev-type inequality
zbMATH Keywords: eigenfunction expansion
zbMATH Keywords: large time asymptotic behavior
MaRDI profile type: Publication
cites work: Brownian Motion and Harmonic Analysis on Sierpinski Carpets
cites work: Brownian motion on the Sierpinski gasket
cites work: Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos
cites work: Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
cites work: Fractal differential equations on the Sierpiński gasket
cites work: Eigenvalues of the Laplacian and the Heat Equation
cites work: Semilinear PDEs on self-similar fractals
cites work: Nonlinear diffusion equations on unbounded fractal domains
cites work: Nonlinear elliptical equations on the Sierpiński gasket
cites work: Weak travelling fronts for population models with density dependent dispersion
cites work: Harmonic Calculus on P.C.F. Self-Similar Sets
cites work: Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
cites work: Harmonization and homogenization on fractals
cites work: Brownian motion penetrating fractals. An application of the trace theorem of Besov spaces
cites work: Renormalisation of finitely ramified fractals
full work available at URL: s0252959902000481
OpenAlex ID: W2354926699
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description: scientific article; zbMATH DE number 1877205