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Dirichlet problem of Poisson equations on \(S{G^4}\). (Chinese. English summary) Zbl 1438.28013

Summary: This paper studies the fractal set \(S{G^4}\), gives the definitions of Laplacians on \(S{G^4}\), then expresses the Green’s function explicitly, solves Dirichlet problem of Poisson equations.

MSC:

28A80 Fractals
34B27 Green’s functions for ordinary differential equations
34B45 Boundary value problems on graphs and networks for ordinary differential equations
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