Browsing by Subject "Equações diferenciais parciais"

Now showing items 1-4 of 4

    • Numerical Solution of PDE’s Using Deep Learning 

      Lima, Lucas Farias
      2019-10-04
      This work presents a method for the solution of partial diferential equations (PDE’s) using neural networks, more specifically deep learning. The main idea behind the method is using a function of the PDE itself as the ...

    • Optimal control of bilinear systems in a complex space setting 

      Aronna, Maria Soledad; Bonnans, J. F.; Kröner, A.
      2017
      In this paper we discuss optimality conditions for optimal control problems with a semigroup structure. As an application we detail the case when the state equation is the Schrödinger one, with pointwise constraints on the ...

    • Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations 

      Soledad Aronna, Maria; Bonnans, J. F.; Kröner, Axel
      2018
      In this paper we consider second order optimality conditions for a bilinear optimal control problem governed by a strongly continuous semigroup operator, the control entering linearly in the cost function. We derive first ...

    • Regularity of Mean-Field Games : an introduction 

      Carletti, Daniel
      2020-08-18
      Mean-field games, introduzido numa perspectiva de equações diferenciais parciais por Lions e Lasry, modelam situações com um grande número de agentes considerado um contínuo. O estudo da regularidade de funções é observar ...