The Nagumo equation on self-similar fractal sets.

DOI10.1142/S0252959902000481zbMath1034.35067OpenAlexW2354926699MaRDI QIDQ1861027

Jiaxin Hu

Publication date: 2002

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0252959902000481

zbMATH Keywords

eigenfunction expansionzero Neumann boundary conditionsSobolev-type inequalitylarge time asymptotic behaviorglobal Hölder continuous solution

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Fractals (28A80)

Cites Work

• Brownian motion on the Sierpinski gasket
• Fractal differential equations on the Sierpiński gasket
• Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
• Harmonization and homogenization on fractals
• Semilinear PDEs on self-similar fractals
• Brownian motion penetrating fractals. An application of the trace theorem of Besov spaces
• Nonlinear elliptical equations on the Sierpiński gasket
• Weak travelling fronts for population models with density dependent dispersion
• Eigenvalues of the Laplacian and the Heat Equation
• Harmonic Calculus on P.C.F. Self-Similar Sets
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
• Brownian Motion and Harmonic Analysis on Sierpinski Carpets
• Renormalisation of finitely ramified fractals
• Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos
• Nonlinear diffusion equations on unbounded fractal domains

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