Now showing items 1-4 of 4

    • Layer potentials in boundary value problems and aerodynamics 

      Martínez Zoroa, Luis (Universitat Politècnica de Catalunya, 2017-01)
      Bachelor thesis
      Open Access
      On this Bachelor's Thesis we apply the method of layer potentials on two different contexts. On the first part of this work we will prove some important properties of the single and double layer potentials for the Laplacian ...
    • Spectral analysis of Dirac operators on domains 

      Gallegos Saliner, Jose Maria (Universitat Politècnica de Catalunya, 2020-10)
      Master thesis
      Open Access
      Relativistic models in quantum mechanics have attracted a lot of attention in recent years, for instance, because of their applications to the study of graphene. In this work, we review the main tools to formulate confining ...
    • The Rayleigh-Faber-Krahn inequality and applications 

      Rodés Bachs, Clàudia (Universitat Politècnica de Catalunya, 2021-01)
      Bachelor thesis
      Open Access
      This work aims to go in-depth in the study of Rayleigh-Faber-Krahn inequality and its proof. This inequality solves the shape optimization problem for the first Dirichlet eigenvalue under a volume constraint. Its proof ...
    • Topics on periodic solutions to integro-differential equations 

      Nualart Batalla, Marc (Universitat Politècnica de Catalunya, 2020-07)
      Master thesis
      Open Access
      This Master's Degree Thesis investigates periodic solutions to nonlinear equations involving integro-dierential operators. We show the existence and we describe these solutions for generalized Benjamin-Ono type nonlinearities, ...