Bevia-Escrig, Vicente-JoséCalatayud, J.Cortés, J.-C.2024-06-132024-06-132023-120893-9659https://riunet.upv.es/handle/10251/205143[EN] 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. The diffusion coefficient is assumed to be an arbitrary second-order random variable, while the initial condition is a stochastic process admitting a Karhunen-Loeve expansion. We then construct pointwise convergent approximations for the main moments and the density of the solution.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Random heat equationMean-square calculusKarhunen-Loeve expansionDensity functionMATEMATICA APLICADAArtículo10.1016/j.aml.2023.108828Abierto