Show simple item record

dc.contributor.authorBendito Pérez, Enrique
dc.contributor.authorCarmona Mejías, Ángeles
dc.contributor.authorEncinas Bachiller, Andrés Marcos
dc.contributor.authorGesto Beiroa, José Manuel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2006-12-01T17:44:29Z
dc.date.available2006-12-01T17:44:29Z
dc.date.issued2006-07
dc.identifier.urihttp://hdl.handle.net/2117/589
dc.description.abstractWe 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.
dc.format.extent13
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta
dc.subject.lcshPotential theory (Mathematics)
dc.subject.lcshBoundary value problems
dc.subject.lcshSchrödinger operator
dc.subject.lcshGreen's functions
dc.subject.otherDiscrete Potential Theory
dc.subject.otherCombinatorial Laplacian
dc.subject.otherSchrödinger operator
dc.subject.otherBoundary value problems
dc.subject.otherEffective resistance
dc.subject.otherGreen function
dc.titlePotential Theory for boundary value problems on finite networks
dc.typeArticle
dc.subject.lemacPotencial, Teoria del (Matemàtica)
dc.subject.lemacProblemes extrems (Matemàtica)
dc.subject.lemacXarxes de comunicacions
dc.contributor.groupUniversitat Politècnica de Catalunya. VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34B Boundary value problems {For ordinary differential operators, see 34Lxx}
dc.rights.accessOpen Access
dc.relation.projectidcttBFM2003-06014
local.personalitzacitaciotrue


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record