An optimal time control problem for the one-dimensional, linear heat equation, in the presence of a scaling parameter

Building on this construction, we address the issue of pasting weak solutions to (1), or, more, generally, the issue of pasting stopping strategies for the optimal stopping problem

An application of a conjecture due to Ervedoza and Zuazua concerning the observability of the heat equation in small time to a conjecture due to Coron and Guerrero concerning

We shall also mention that estimating the observability constant in small times for the heat equation in the one-dimensional case is related to the uniform controllability of

Lorsqu’un écrit scientifique issu d’une activité de recherche financée au moins pour moitié par des dotations de l’État, des collectivités territoriales ou des

This paper addresses the problem of optimizing the distribution of the support of the internal null control of minimal L 2 -norm for the 1-D heat equation. A measure constraint

As indicated above, the homogenization method and the classical tools of non-convex variational problems (in particular, Young measures) are, for the moment, two of the most

In particular, we define and completely solve a convexified version of this problem, underline a generic non existence result with respect to the values of the measure constraint L,

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