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Dispersion for 1-d Schrödinger and wave equations with bv coefficients
(2016-01-01)
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
(2016-01-01)
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
(2016-01-01)
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
(2016-01-01)
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
(2016-01-01)
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 ...