Heat Flow Inequalities with Applications to Heat Flow Optimization Problems
- 1 August 1977
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 8 (4) , 604-618
- https://doi.org/10.1137/0508048
Abstract
Inequalities are derived which compare the rates of heat flow across regions with different boundaries. The inequalities form the basis for an existence and uniqueness theory for several closely related free-boundary optimization problems involving the Laplace equation.Keywords
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