The nonlinear optimization problem in heat conduction |
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Authors: | Eduardo V Teixeira |
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Institution: | (1) Department of Mathematics, University of Texas at Austin, RLM 9.136, 78712-1082 Austin, Texas, USA |
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Abstract: | In this paper we study the existence and geometric properties of an optimal configuration to a nonlinear optimization problem in heat conduction. The quantity to be minimized is
, where D is a fixed domain. A nonconstant temperature distribution is prescribed on
and a volume constraint on the set where the temperature is positive is imposed. Among other regularity properties of an optimal configuration, we prove analyticity of the free boundary.Received: 6 October 2004, Accepted: 19 October 2004, Published online: 22 December 2004 |
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