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

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

In this paper, we study the optimal time problem for the one-dimensional, linear heat equation, in the presence of a scaling parameter. To begin with, we build an exact solution. The dependence of this solution as regards the scaling parameter naturally opens the way to study the existence and uniqueness …