Now showing items 1-14 of 14

    • Dirichlet-to-Robin maps on finite networks 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2015-04-01)
      Article
      Open Access
      Our aim is to characterize those matrices that are the response matrix of a semi positive definite Schrodinger operator on a circular planar network. Our findings generalize the known results and allow us to consider both ...
    • Dirichlet-to-Robin matrix on networks 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2014)
      Article
      Open Access
      In this work, we de ne the Dirichlet{to{Robin matrix associated with a Schr odinger type matrix on general networks, and we prove that it satis es the alternating property which is essential to characterize those matrices ...
    • Discrete inverse problem on grids 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2016)
      Conference report
      Open Access
      In this work, we present an algorithm to the recovery of the conductance of a n –dimensional grid. The algorithm is based in the solution of some overdetermined partial boundary value problems defined on the grid; that is, ...
    • Discrete Serrin's problem 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (Elsevier, 2015-03-01)
      Article
      Open Access
      We consider here the discrete analogue of Serrin's problem: if the equilibrium measure of a network with boundary satisfies that its normal derivative is constant, what can be said about the structure of the network and ...
    • Funciones de green en redes producto 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (Universidad de Cádiz, 2017)
      Conference report
      Restricted access - publisher's policy
      En esta comunicación presentaremos la versión discreta del método de separación de variables para determinar la función de Green de redes producto en términos de la función de Green de uno de las redes factores y los ...
    • Green function on product networks 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2012)
      Conference lecture
      Restricted access - publisher's policy
      Our objective is to determine the Green function of product networks in terms of the Green function of one of the factor networks and the eigenvalues and eigenfunctions of the Schr odinger operator of the other factor ...
    • Green functions on product networks 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (2018-01-01)
      Article
      Open Access
      We aim here at determining the Green function for general Schrödinger operators on product networks. The first step consists in expressing Schrödinger operators on a product network as sum of appropriate Schrödinger operators ...
    • Índice de Kirchhoff de redes compuestas 

      Arauz Lombardía, Cristina (Universitat Politècnica de Catalunya, 2010-11)
      Master thesis
      Open Access
      El cálculo de la resistencia efectiva entre cualquier par de vértices de una red, así como el Índice de Kirchhoff, tiene gran interés en la Teoría de circuitos eléctricos y en cadenas de Markov. En la última década estos ...
    • La función de Green y el índice de Kirchhoff de redes cluster 

      Arauz Lombardía, Cristina; Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2010)
      Conference lecture
      Open Access
      En este trabajo determinamos las Funciones de Green, respecto de un peso fijado sobre los vértices, en una amplia clase de redes compuestas que se engloban bajo la denominación de redes cluster. También aplicamos las ...
    • Overdetermined partial boundary value problems on finite networks 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2015-03-01)
      Article
      Open Access
      In this study, we define a class of non-self-adjoint boundary value problems on finite networks associated with Schrodinger operators. The novel feature of this study is that no data are prescribed on part of the boundary, ...
    • Overdetermined partial resolvent kernels for finite networks 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2016-03-01)
      Article
      Open Access
      In [2], a study of the existence and uniqueness of solution of partial overdetermined boundary value problems for finite networks was performed. These problems involve Schrodinger operators and the novel feature is that ...
    • Recovering the conductances on grids 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2014)
      Article
      Restricted access - publisher's policy
      In this work, we present an algorithm to the recovery of the conductance of a 2– dimensional grid. The algorithm is based in the solution of some overdetermined partial boundary value problems defined on the grid.
    • Recovering the conductances on grids: A theoretical justification 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (2016)
      Article
      Open Access
      In this work, we present an overview of the work developed by the authors in the context of inverse problems on nite networks. This study performs an extension of the pioneer studies by E.B. Curtis and J.A. Morrow, ...
    • The inverse problem on finite networks 

      Arauz Lombardía, Cristina (Universitat Politècnica de Catalunya, 2014-06-19)
      Doctoral thesis
      Open Access
      The aim of this thesis is to contribute to the field of discrete boundary value problems on finite networks. Boundary value problems have been considered both on the continuum and on the discrete fields. Despite working ...