04-139 Eduardo V. Teixeira
A nonlinear optimization problem in Heat conduction (396K, AMS-TeX) Apr 29, 04
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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 $\int_{\partial D} \Gamma (x,u_\mu) d\sigma$, where $D$ is a fixed domain. A nonconstant temperature distribution is prescribed on $\partial D$ 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.

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