Formation of singularities for viscosity solutions of Hamilton-Jacobi equations
Fully-discrete finite element approximations for a fourth-order linear stochastic parabolic equation with additive space-time white noise
We consider an initial and Dirichlet boundary value problem for a fourth-order linear stochastic parabolic equation, in one space dimension, forced by an additive space-time white noise. Discretizing the space-time white noise a modelling error is introduced and a regularized fourth-order linear stochastic parabolic problem is obtained. Fully-discrete approximations to the solution of the regularized problem are constructed by using, for discretization in space, a Galerkin finite element method...
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