Optimal boundary control of the heat equation with target function at terminal time

Authors:
Guangcao Ji;Clyde Martin
Affiliations:
Department of Mathematics, Institute for the Mathematics of the Life Sciences, Texas Tech University, Box 41042, Lubbock, TX;Department of Mathematics, Institute for the Mathematics of the Life Sciences, Texas Tech University, Box 41042, Lubbock, TX
Venue:
Applied Mathematics and Computation
Year:
2002

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Abstract

We consider the problem of optimally fitting a solution of the heat equation to a prescribed target function. We assume boundary control of the heat equation on a bounded domain. The problem arises in constructing the response surface to a two-dimensional set of experimental data.