Skip to Main content Skip to Navigation
Reports

Domain Optimization Problem for Stationary Heat Equation

Abstract : In the paper the support of a Radon measure is selected in an optimal way. The solution of the second order elliptic equation depends on the mesure via the mixed type boundary conditions. The existence of a solution for a class of domain optimization problems is shown. The relaxed formulation of the optimization problems is proposed. The first order necessary optimality conditions are derived.
Document type :
Reports
Complete list of metadata

Cited literature [2 references]  Display  Hide  Download

https://hal.inria.fr/inria-00073903
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 2:02:45 PM
Last modification on : Thursday, February 11, 2021 - 2:48:12 PM
Long-term archiving on: : Monday, April 5, 2010 - 12:01:21 AM

Identifiers

  • HAL Id : inria-00073903, version 1

Collections

Citation

Antoine Henrot, Werner Horn, Jan Sokolowski. Domain Optimization Problem for Stationary Heat Equation. [Research Report] RR-2788, INRIA. 1996, pp.26. ⟨inria-00073903⟩

Share

Metrics

Record views

205

Files downloads

327