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Dirichlet finite solutions of Poisson equations on an infinite network

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Publication:584583
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zbMath0523.31005MaRDI QIDQ584583

Takashi Kayano, Maretsugu Yamasaki

Publication date: 1982

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Green functioninfinite networkDirichlet integralPoisson equationsDirichlet finite solutions


Mathematics Subject Classification ID

Harmonic functions on Riemann surfaces (30F15) Discrete potential theory (31C20) Potential theory on Riemannian manifolds and other spaces (31C12)


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Solving Dirichlet and Poisson problems on graphs by means of equilibrium measures ⋮ A Hilbert space approach to effective resistance metric ⋮ Solving boundary value problems on networks using equilibrium measures ⋮ Extinction and positivity of the solutions of the heat equations with absorption on networks ⋮ Diffuse scattering on graphs ⋮ Morphisms and currents in infinite nonlinear resistive networks



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