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島根大学理学部紀要 Volume 14
published_at 1980-12-20
無限ネットワークの重調和グリーン関数
Biharmonic Green Function of an Infinite Network
Yamasaki Maretsugu
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We discuss the existence and some properties of the biharmonic Green function of an infinite network. Our results are very analogous to that of a Riemannian manifold. Some potemtial-theoretic characterizations of the network are also given by means of the biharmonic Green function.
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