Optimal observation of the one-dimensional wave equation

We also quote [16] in which the author investigates numerically this relaxed first problem (not only in dimension one), using shape and topological derivatives of the functional

Practical approaches consist either of solving the above kind of problem with a finite number of possible initial data, or of recasting the optimal sensor location problem for

Indeed, the problem we are looking to is related to the so called existence and asymptotic stability of blow-up profile in the energy space (for L 2 critical generalized KdV, see

Abstract In this article, we provide a general model of “quaternary” dichotomous voting rules (QVRs), namely, voting rules for making collective dichotomous deci- sions (to accept

This paper addresses the analysis of a time noise-driven Allen–Cahn equation modelling the evolution of damage in continuum media in the presence of stochastic dynamics.. The

In this section we test a second order algorithm for the 2-Wasserstein dis- tance, when c is the Euclidean cost. Two problems will be solved: Blue Noise and Stippling. We denote by

Then we show that the optimal control problem has also a unique solution that we characterize by means of first order Euler-Lagrange optimality condition and adjoint state which

As an application, we show that the set of points which are displaced at maximal distance by a “locally optimal” transport plan is shared by all the other optimal transport plans,