Controllability and observability of an artificial advection-diffusion problem

Relaxed formulation for the Steklov eigenvalues: existence of optimal shapes In this section we extend the notion of the Steklov eigenvalues to arbitrary sets of finite perime- ter,

We first penalize the state equation and we obtain an optimization problem with non convex constraints, that we are going to study with mathematical programming methods once again

We all want to be friendly with our neighbours, but we also need our privacy. Some neighbours may be too friendly to the point that they start to become nosy, and far too friendly

Abstract. The aim of this paper is to answer the question: Do the controls of a vanishing viscosity approximation of the one dimensional linear wave equation converge to a control

Using a spectral method, we prove that the control cost goes to zero exponentially when the viscosity vanishes and the control time is large enough.. On the other hand, we prove

In [19], Tan and Baras apply the viscosity solutions technique to the continuous and finite dimensional Hamilton–Jacobi equation for an optimal control problem with Duhem

More specically, we prove, under suitable assumptions on the prescribed geometrical data, that the reconstruction of an isometric immersion and of the corresponding normal basis

Considering a geometry made of three concentric spheri- cal nested layers, (brain, skull, scalp) each with constant homogeneous conductivity, we establish a uniqueness result in