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Potential Theory for boundary value problems on finite networks

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hdl:2117/589

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Bendito Pérez, EnriqueMés informacióMés informacióMés informació
Carmona Mejías, ÁngelesMés informacióMés informacióMés informació
Encinas Bachiller, Andrés MarcosMés informacióMés informacióMés informació
Gesto Beiroa, José Manuel
Document typeArticle
Defense date2006-07
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 2.5 Spain
This work is protected by the corresponding intellectual and industrial property rights. Except where otherwise noted, its contents are licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 2.5 Spain
Abstract
We aim here at analyzing self-adjoint boundary value problems on finite networks associated with positive semi-definite Schrödinger operators. In addition, we study the existence and uniqueness of solutions and its variational formulation. Moreover, we will tackle a well-known problem in the framework of Potential Theory, the so-called condenser principle. Then, we generalize of the concept of effective resistance between two vertices of the network and we characterize the Green function of some BVP in terms of effective resistances.
URIhttp://hdl.handle.net/2117/589
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  • VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial - Articles de revista [14]
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