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arxiv: 1604.08485 · v1 · pith:CTNZQFLZnew · submitted 2016-04-28 · 🧮 math.AP · math.OC

An optimization problem in heat conduction with minimal temperature constraint, interior heating and exterior insulation

classification 🧮 math.AP math.OC
keywords temperatureconductionconstraintexteriorheatheatinginsulationinterior
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We show the existence and optimal regularity of the optimal temperature configuration in a problem in heat conduction with minimal temperature constraint, interior heating and exterior insulation. Regularity of the two free boundaries is also studied.

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