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Isoperimetric inequalities involving heat flow under linear radiation conditions

Author: Andrew Acker
Journal: Proc. Amer. Math. Soc. 64 (1977), 265-271
MSC: Primary 35J99; Secondary 49H05
MathSciNet review: 0445122
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Abstract: Under the assumption that a constant linear radiation condition holds on each boundary component, we show that the annulus and the strip are heat-flow minimizing with respect to area-preserving variations in one (for the annulus: the outer) boundary component.

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Article copyright: © Copyright 1977 American Mathematical Society