• openAccess   Analysis of the random heat equation via approximate density functions 

      Calatayud, Julia; Cortés, Juan Carlos Editura Academiei Romane (2021)
      In this paper we study the randomized heat equation with homo- geneous boundary conditions. The diffusion coefficient is assumed to be a random variable and the initial condition is treated as a stochastic process. The ...
    • openAccess   Probabilistic analysis of a class of 2D-random heat equations via densities 

      Bevia, Vicente; Calatayud, Julia; Cortés, Juan Carlos Elsevier (2023-12)
      We give new probabilistic results for a class of random two-dimensional homogeneous heat equations with mixed homogeneous Dirichlet and Neumann boundary conditions and an arbitrary initial condition on a rectangular domain. ...