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

Yu Hui<sup>*</sup>

doi:10.1007/s00526-016-1071-y

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

作者：Yu Hui^*

来源：Calculus of Variations and Partial Differential Equations, 2016, 55(6): 130.

DOI：10.1007/s00526-016-1071-y

摘要

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.