Geodesic
A generalized solution of boundary value problem for an elliptic equation on a graph
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 28-29.

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We obtain an analogue of lemma Du-Bua-Reymond, we introduce subspaces $W_2^1(\Gamma)$ and the concept of generalized solutions of the corresponding boundary value problems.
Keywords: graph-star, generalized derivative, generalized solutions.
Mots-clés : lemma Du-Bua-Reymond 
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A. S. Volkova. A generalized solution of boundary value problem for an elliptic equation on a graph. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 28-29. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a11/

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