Now showing items 1-5 of 5
Dispersion for 1-d Schrödinger and wave equations with bv coefficients
In this paper we analyze the dispersion for one dimensional wave and Schrödinger equations with BV coefficients. In the case of the wave equation we give a complete answer in terms of the variation of the logarithm of the ...
Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
This article is devoted to the analysis of control properties for a heat equation with a singular potential μ/δ2, defined on a bounded C2 domain Ω⊂RN, where δ is the distance to the boundary function. More precisely, we ...
Numerical meshes ensuring uniform observability of one-dimensional waves: Construction and analysis
We build nonuniform numerical meshes for the finite difference and finite element approximations of the one-dimensional wave equation, ensuring that all numerical solutions reach the boundary, as continuous solutions do, ...
Control of 2D scalar conservation laws in the presence of shocks
We analyze a model optimal control problem for a 2D scalar conservation law-the so-called inverse design problem-with the goal being to identify the initial datum leading to a given final time configuration. The presence ...
Optimal strategies for driving a mobile agent in a "guidance by repulsion" model
We present a guidance by repulsion model based on a driver-evader interaction where the driver, assumed to be faster than the evader, follows the evader but cannot be arbitrarily close to it, and the evader tries to move ...