Second Order PDEs with Dirichlet White Noise Boundary Condition

As already pointed out by Nicot [25], the increase in kinetic energy is related to a conflict between the loading ( f ˙ ) applied to the boundary of the specimen and the internal

In this paper, the problem of parameter and state estimation is addressed for IDSs that are described by a parabolic PDE with a boundary condition involving an uncertain

Other schemes which have been shown to be part of the gradient discretisation method reviewed in the recent book [19], were also studied for the Leray-Lions type problems, namely

LANDES, On the Existence of Weak Solutions for Quasilinear Parabolic Initial- Boundary Value Problems, Proc. LANDES, Solvability of Perturbed Elliptic Equations with

– The paper is devoted to one-dimensional nonlinear stochastic partial differential equations of parabolic type with non homogeneous Dirichlet boundary conditions of white-noise

To this end, we give an explicit representation formula, using analytic semigroups, sectorial operators with Bounded Imaginary Powers, the theory of strongly continuous cosine

and V´eron L., Boundary trace of positive solutions of semilinear elliptic equations in Lipschitz domains: the subcritical case arXiv:0907.1006v3, submitted. [21]

In order to characterize positive good measures, we introduce a framework of nonlinear analysis which have been used by Dynkin and Kuznetsov (see [16] and references therein) and